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1137396640 = 25524372917
BaseRepresentation
bin100001111001011…
…0100101110100000
32221021012201212111
41003302310232200
54312133143030
6304510205104
740120466122
oct10362645640
92837181774
101137396640
11534037a26
12278ab3794
13151845583
14ab0b5212
1569cc162a
hex43cb4ba0

1137396640 has 48 divisors (see below), whose sum is σ = 2689123752. Its totient is φ = 454616064.

The previous prime is 1137396619. The next prime is 1137396643. The reversal of 1137396640 is 466937311.

It can be written as a sum of positive squares in 4 ways, for example, as 1100381584 + 37015056 = 33172^2 + 6084^2 .

It is a super-2 number, since 2×11373966402 = 2587342233366579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1137396593 and 1137396602.

It is not an unprimeable number, because it can be changed into a prime (1137396643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388462 + ... + 391378.

Almost surely, 21137396640 is an apocalyptic number.

1137396640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1137396640 is an abundant number, since it is smaller than the sum of its proper divisors (1551727112).

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

1137396640 is a wasteful number, since it uses less digits than its factorization.

1137396640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 1137396640 is about 33725.3115626824. The cubic root of 1137396640 is about 1043.8481206715.

The spelling of 1137396640 in words is "one billion, one hundred thirty-seven million, three hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2437 2917 4874 5834 9748 11668 12185 14585 19496 23336 24370 29170 38992 46672 48740 58340 77984 93344 97480 116680 194960 233360 389920 466720 7108729 14217458 28434916 35543645 56869832 71087290 113739664 142174580 227479328 284349160 568698320 1137396640