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1057677696 = 2733306041
BaseRepresentation
bin111111000010101…
…110000110000000
32201201012121001000
4333002232012000
54131231141241
6252541412000
735132053305
oct7702560600
92651177030
101057677696
114a30389a9
1225626a000
1313b1830ba
14a06830ac
1562cc5eb6
hex3f0ae180

1057677696 has 64 divisors (see below), whose sum is σ = 3121628400. Its totient is φ = 352558080.

The previous prime is 1057677689. The next prime is 1057677703. The reversal of 1057677696 is 6967767501.

It is a happy number.

1057677696 is a `hidden beast` number, since 1 + 0 + 576 + 7 + 7 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1057677689) and next prime (1057677703).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10576776962 = 2237364217231736832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149565 + ... + 156476.

Almost surely, 21057677696 is an apocalyptic number.

1057677696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1057677696 is an abundant number, since it is smaller than the sum of its proper divisors (2063950704).

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

1057677696 is an equidigital number, since it uses as much as digits as its factorization.

1057677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306064 (or 306046 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 1057677696 is about 32521.9571366792. The cubic root of 1057677696 is about 1018.8676707719.

The spelling of 1057677696 in words is "one billion, fifty-seven million, six hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 306041 612082 918123 1224164 1836246 2448328 2754369 3672492 4896656 5508738 7344984 8263107 9793312 11017476 14689968 16526214 19586624 22034952 29379936 33052428 39173248 44069904 58759872 66104856 88139808 117519744 132209712 176279616 264419424 352559232 528838848 1057677696