Search a number
-
+
2530015344 = 243317595839
BaseRepresentation
bin1001011011001100…
…1111100001110000
320112022200002121000
42112303033201300
520140140442334
61055015002000
7116460530013
oct22663174160
96468602530
102530015344
111089144a7a
125a7369300
1331420b3cc
141a002537a
15ec1a9299
hex96ccf870

2530015344 has 160 divisors (see below), whose sum is σ = 7820928000. Its totient is φ = 780143616.

The previous prime is 2530015337. The next prime is 2530015351. The reversal of 2530015344 is 4435100352.

2530015344 is a `hidden beast` number, since 2 + 5 + 300 + 15 + 344 = 666.

2530015344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2530015337) and next prime (2530015351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430377 + ... + 436215.

It is an arithmetic number, because the mean of its divisors is an integer number (48880800).

Almost surely, 22530015344 is an apocalyptic number.

2530015344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530015344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910464000).

2530015344 is an abundant number, since it is smaller than the sum of its proper divisors (5290912656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2530015344 is a wasteful number, since it uses less digits than its factorization.

2530015344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2530015344 is about 50299.2578871697. The cubic root of 2530015344 is about 1362.6188264797.

Adding to 2530015344 its reverse (4435100352), we get a palindrome (6965115696).

The spelling of 2530015344 in words is "two billion, five hundred thirty million, fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 59 68 72 102 108 118 136 144 153 177 204 216 236 272 306 354 408 432 459 472 531 612 708 816 918 944 1003 1062 1224 1416 1593 1836 2006 2124 2448 2832 3009 3186 3672 4012 4248 5839 6018 6372 7344 8024 8496 9027 11678 12036 12744 16048 17517 18054 23356 24072 25488 27081 35034 36108 46712 48144 52551 54162 70068 72216 93424 99263 105102 108324 140136 144432 157653 198526 210204 216648 280272 297789 315306 344501 397052 420408 433296 595578 630612 689002 794104 840816 893367 1033503 1191156 1261224 1378004 1588208 1786734 2067006 2382312 2522448 2680101 2756008 3100509 3573468 4134012 4764624 5360202 5512016 5856517 6201018 7146936 8268024 9301527 10720404 11713034 12402036 14293872 16536048 17569551 18603054 21440808 23426068 24804072 35139102 37206108 42881616 46852136 49608144 52708653 70278204 74412216 93704272 105417306 140556408 148824432 158125959 210834612 281112816 316251918 421669224 632503836 843338448 1265007672 2530015344