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1137894912 = 29337111069
BaseRepresentation
bin100001111010010…
…1110011000000000
32221022011001101000
41003310232120000
54312300114122
6304525012000
740124642610
oct10364563000
92838131330
101137894912
11534348320
122790b4000
1315198b2cb
14ab1a4a40
1569d6e0ac
hex43d2e600

1137894912 has 320 divisors, whose sum is σ = 4203302400. Its totient is φ = 295280640.

The previous prime is 1137894899. The next prime is 1137894917. The reversal of 1137894912 is 2194987311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137894917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063914 + ... + 1064982.

It is an arithmetic number, because the mean of its divisors is an integer number (13135320).

Almost surely, 21137894912 is an apocalyptic number.

1137894912 is a gapful number since it is divisible by the number (12) 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 1137894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101651200).

1137894912 is an abundant number, since it is smaller than the sum of its proper divisors (3065407488).

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

1137894912 is a wasteful number, since it uses less digits than its factorization.

1137894912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1092 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1137894912 is about 33732.6979650309. The cubic root of 1137894912 is about 1044.0005284711. Note that the first 3 decimals are identical.

The spelling of 1137894912 in words is "one billion, one hundred thirty-seven million, eight hundred ninety-four thousand, nine hundred twelve".