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1164260416 = 26111987041
BaseRepresentation
bin100010101100101…
…0011010001000000
310000010202120001011
41011121103101000
54341022313131
6311310050304
740565023144
oct10531232100
93003676034
101164260416
115482160a0
12285aa9994
1315728cbb7
14b08a9224
156c32b0b1
hex45653440

1164260416 has 56 divisors (see below), whose sum is σ = 2653040160. Its totient is φ = 501350400.

The previous prime is 1164260413. The next prime is 1164260441. The reversal of 1164260416 is 6140624611.

It is not an unprimeable number, because it can be changed into a prime (1164260411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30145 + ... + 56896.

Almost surely, 21164260416 is an apocalyptic number.

1164260416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1164260416 is an abundant number, since it is smaller than the sum of its proper divisors (1488779744).

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

1164260416 is a wasteful number, since it uses less digits than its factorization.

1164260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87083 (or 87073 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1164260416 is about 34121.2604690976. The cubic root of 1164260416 is about 1052.0023517226.

The spelling of 1164260416 in words is "one billion, one hundred sixty-four million, two hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 13376 87041 174082 348164 696328 957451 1392656 1653779 1914902 2785312 3307558 3829804 5570624 6615116 7659608 13230232 15319216 18191569 26460464 30638432 36383138 52920928 61276864 72766276 105841856 145532552 291065104 582130208 1164260416