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1137074920 = 2351723229109
BaseRepresentation
bin100001111000110…
…0110001011101000
32221020121101112221
41003301212023220
54312042344140
6304455243424
740114656142
oct10361461350
92836541487
101137074920
11533938243
12278979574
13151761cc7
14ab02dc92
1569c5b14a
hex43c662e8

1137074920 has 192 divisors, whose sum is σ = 2956338000. Its totient is φ = 391716864.

The previous prime is 1137074881. The next prime is 1137074921. The reversal of 1137074920 is 294707311.

It can be written as a sum of positive squares in 8 ways, for example, as 779638084 + 357436836 = 27922^2 + 18906^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1137074921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10431826 + ... + 10431934.

Almost surely, 21137074920 is an apocalyptic number.

1137074920 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 1137074920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478169000).

1137074920 is an abundant number, since it is smaller than the sum of its proper divisors (1819263080).

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

1137074920 is a wasteful number, since it uses less digits than its factorization.

1137074920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 1137074920 is about 33720.5415140386. The cubic root of 1137074920 is about 1043.7496916585.

The spelling of 1137074920 in words is "one billion, one hundred thirty-seven million, seventy-four thousand, nine hundred twenty".