Search a number
-
+
2530722688 = 271343113313
BaseRepresentation
bin1001011011010111…
…1100001110000000
320112101000000212221
42112311330032000
520140331111223
61055042100424
7116466534154
oct22665741600
96471000787
102530722688
11108958845a
125a764a714
133143c8360
141a016b064
15ec298b5d
hex96d7c380

2530722688 has 128 divisors (see below), whose sum is σ = 5622835680. Its totient is φ = 1127153664.

The previous prime is 2530722619. The next prime is 2530722713. The reversal of 2530722688 is 8862270352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8085220 + ... + 8085532.

Almost surely, 22530722688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2530722688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811417840).

2530722688 is an abundant number, since it is smaller than the sum of its proper divisors (3092112992).

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

2530722688 is a wasteful number, since it uses less digits than its factorization.

2530722688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 2530722688 is about 50306.2887520040. The cubic root of 2530722688 is about 1362.7458020524.

The spelling of 2530722688 in words is "two billion, five hundred thirty million, seven hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 113 128 172 208 226 313 344 416 452 559 626 688 832 904 1118 1252 1376 1469 1664 1808 2236 2504 2752 2938 3616 4069 4472 4859 5008 5504 5876 7232 8138 8944 9718 10016 11752 13459 14464 16276 17888 19436 20032 23504 26918 32552 35369 35776 38872 40064 47008 53836 63167 65104 70738 71552 77744 94016 107672 126334 130208 141476 155488 174967 188032 215344 252668 260416 282952 310976 349934 430688 459797 505336 520832 565904 621952 699868 861376 919594 1010672 1131808 1399736 1520867 1722752 1839188 2021344 2263616 2799472 3041734 3678376 4042688 4527232 5598944 6083468 7356752 8085376 11197888 12166936 14713504 19771271 22395776 24333872 29427008 39542542 48667744 58854016 79085084 97335488 158170168 194670976 316340336 632680672 1265361344 2530722688