Search a number
-
+
1413262480 = 245773181191
BaseRepresentation
bin101010000111100…
…1010110010010000
310122111022011122211
41110033022302100
510343243344410
6352123041504
750010350530
oct12417126220
93574264584
101413262480
11665828023
12335370294
13196a432b6
14d59a54c0
158411468a
hex543cac90

1413262480 has 160 divisors (see below), whose sum is σ = 3847753728. Its totient is φ = 472780800.

The previous prime is 1413262469. The next prime is 1413262483. The reversal of 1413262480 is 842623141.

1413262480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1413262483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7399185 + ... + 7399375.

Almost surely, 21413262480 is an apocalyptic number.

1413262480 is a gapful number since it is divisible by the number (10) 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 1413262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923876864).

1413262480 is an abundant number, since it is smaller than the sum of its proper divisors (2434491248).

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

1413262480 is a wasteful number, since it uses less digits than its factorization.

1413262480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1413262480 is about 37593.3834603910. The cubic root of 1413262480 is about 1122.2103670210.

The spelling of 1413262480 in words is "one billion, four hundred thirteen million, two hundred sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 181 191 280 292 362 365 382 511 560 584 724 730 764 905 955 1022 1168 1267 1337 1448 1460 1528 1810 1910 2044 2534 2555 2674 2896 2920 3056 3620 3820 4088 5068 5110 5348 5840 6335 6685 7240 7640 8176 10136 10220 10696 12670 13213 13370 13943 14480 15280 20272 20440 21392 25340 26426 26740 27886 34571 40880 50680 52852 53480 55772 66065 69142 69715 92491 97601 101360 105704 106960 111544 132130 138284 139430 172855 184982 195202 211408 223088 241997 264260 276568 278860 345710 369964 390404 462455 483994 488005 528520 553136 557720 691420 739928 780808 924910 967988 976010 1057040 1115440 1209985 1382840 1479856 1561616 1849820 1935976 1952020 2419970 2523683 2765680 3699640 3871952 3904040 4839940 5047366 7399280 7808080 9679880 10094732 12618415 17665781 19359760 20189464 25236830 35331562 40378928 50473660 70663124 88328905 100947320 141326248 176657810 201894640 282652496 353315620 706631240 1413262480