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1164070912 = 212377681
BaseRepresentation
bin100010101100010…
…0101000000000000
310000010101221002111
41011120211000000
54341000232122
6311302025104
740563303514
oct10530450000
93003357074
101164070912
115480a6784
12285a18194
13157224874
14b085a144
156c2ded77
hex45625000

1164070912 has 52 divisors (see below), whose sum is σ = 2391083956. Its totient is φ = 566231040.

The previous prime is 1164070889. The next prime is 1164070913. The reversal of 1164070912 is 2190704611.

It can be written as a sum of positive squares in 2 ways, for example, as 939790336 + 224280576 = 30656^2 + 14976^2 .

It is a super-2 number, since 2×11640709122 = 2710122176329023488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164070913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147712 + ... + 155392.

Almost surely, 21164070912 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 1164070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195541978).

1164070912 is an abundant number, since it is smaller than the sum of its proper divisors (1227013044).

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

1164070912 is an frugal number, since it uses more digits than its factorization.

1164070912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1164070912 is about 34118.4834364014. The cubic root of 1164070912 is about 1051.9452712882.

The spelling of 1164070912 in words is "one billion, one hundred sixty-four million, seventy thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 7681 9472 15362 18944 30724 37888 61448 75776 122896 151552 245792 284197 491584 568394 983168 1136788 1966336 2273576 3932672 4547152 7865344 9094304 15730688 18188608 31461376 36377216 72754432 145508864 291017728 582035456 1164070912