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1055315936 = 251719102101
BaseRepresentation
bin111110111001101…
…101011111100000
32201112202121022102
4332321231133200
54130130102221
6252415025532
735103015563
oct7671553740
92645677272
101055315936
114a1775534
1225550b2a8
1313a8370cc
14a022a4da
15629ab30b
hex3ee6d7e0

1055315936 has 48 divisors (see below), whose sum is σ = 2315673360. Its totient is φ = 470476800.

The previous prime is 1055315903. The next prime is 1055315941. The reversal of 1055315936 is 6395135501.

It is a super-2 number, since 2×10553159362 = 2227383449551112192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1055315936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40715 + ... + 61386.

It is an arithmetic number, because the mean of its divisors is an integer number (48243195).

Almost surely, 21055315936 is an apocalyptic number.

1055315936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1055315936 is an abundant number, since it is smaller than the sum of its proper divisors (1260357424).

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

1055315936 is a wasteful number, since it uses less digits than its factorization.

1055315936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102147 (or 102139 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 38.

The square root of 1055315936 is about 32485.6266062393. The cubic root of 1055315936 is about 1018.1087394442.

The spelling of 1055315936 in words is "one billion, fifty-five million, three hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 102101 204202 408404 816808 1633616 1735717 1939919 3267232 3471434 3879838 6942868 7759676 13885736 15519352 27771472 31038704 32978623 55542944 62077408 65957246 131914492 263828984 527657968 1055315936