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1055684032 = 26132395309
BaseRepresentation
bin111110111011000…
…111010111000000
32201120110022020121
4332323013113000
54130223342112
6252430550024
735106111004
oct7673072700
92646408217
101055684032
114a19a7047
12255668314
1313a935810
14a02c4704
1562a30407
hex3eec75c0

1055684032 has 56 divisors (see below), whose sum is σ = 2265883200. Its totient is φ = 485108736.

The previous prime is 1055684029. The next prime is 1055684057. The reversal of 1055684032 is 2304865501.

It is a super-2 number, since 2×10556840322 = 2228937550839554048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196194 + ... + 201502.

It is an arithmetic number, because the mean of its divisors is an integer number (40462200).

Almost surely, 21055684032 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 1055684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132941600).

1055684032 is an abundant number, since it is smaller than the sum of its proper divisors (1210199168).

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

1055684032 is a wasteful number, since it uses less digits than its factorization.

1055684032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 1055684032 is about 32491.2916332977. The cubic root of 1055684032 is about 1018.2270983728.

The spelling of 1055684032 in words is "one billion, fifty-five million, six hundred eighty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 239 416 478 832 956 1912 3107 3824 5309 6214 7648 10618 12428 15296 21236 24856 42472 49712 69017 84944 99424 138034 169888 198848 276068 339776 552136 1104272 1268851 2208544 2537702 4417088 5075404 10150808 16495063 20301616 32990126 40603232 65980252 81206464 131960504 263921008 527842016 1055684032