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1055516160 = 2935137437
BaseRepresentation
bin111110111010011…
…110011000000000
32201120010202222010
4332322132120000
54130203004120
6252423212520
735104511406
oct7672363000
92646122863
101055516160
114a18a1a06
122555a7140
1313a8a729a
14a027d476
15629ea7e0
hex3ee9e600

1055516160 has 80 divisors (see below), whose sum is σ = 3374377776. Its totient is φ = 281468928.

The previous prime is 1055516153. The next prime is 1055516171. The reversal of 1055516160 is 616155501.

1055516160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10555161602 = 2228228728042291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61039 + ... + 76398.

Almost surely, 21055516160 is an apocalyptic number.

1055516160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055516160 is an abundant number, since it is smaller than the sum of its proper divisors (2318861616).

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

1055516160 is an equidigital number, since it uses as much as digits as its factorization.

1055516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137463 (or 137447 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 1055516160 is about 32488.7081922320. The cubic root of 1055516160 is about 1018.1731236116.

The spelling of 1055516160 in words is "one billion, fifty-five million, five hundred sixteen thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 137437 274874 412311 549748 687185 824622 1099496 1374370 1649244 2061555 2198992 2748740 3298488 4123110 4397984 5497480 6596976 8246220 8795968 10994960 13193952 16492440 17591936 21989920 26387904 32984880 35183872 43979840 52775808 65969760 70367744 87959680 105551616 131939520 175919360 211103232 263879040 351838720 527758080 1055516160