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1056094974 = 2321119412167
BaseRepresentation
bin111110111100101…
…011101011111110
32201121020011221200
4332330223223332
54130330014344
6252443440330
735112442044
oct7674535376
92647204850
101056094974
114a2157870
122558260a6
1313aa4a88c
14a0390394
1562ab2069
hex3ef2bafe

1056094974 has 144 divisors (see below), whose sum is σ = 2709383040. Its totient is φ = 294019200.

The previous prime is 1056094957. The next prime is 1056094987. The reversal of 1056094974 is 4794906501.

1056094974 is a `hidden beast` number, since 10 + 560 + 9 + 4 + 9 + 74 = 666.

It is a super-2 number, since 2×10560949742 = 2230673188216121352, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6323839 + ... + 6324005.

It is an arithmetic number, because the mean of its divisors is an integer number (18815160).

Almost surely, 21056094974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056094974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354691520).

1056094974 is an abundant number, since it is smaller than the sum of its proper divisors (1653288066).

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

1056094974 is a wasteful number, since it uses less digits than its factorization.

1056094974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1056094974 is about 32497.6148970967. The cubic root of 1056094974 is about 1018.3592016618.

The spelling of 1056094974 in words is "one billion, fifty-six million, ninety-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 41 57 66 82 99 114 123 167 171 198 209 246 334 342 369 418 451 501 627 738 779 902 1002 1254 1353 1503 1558 1681 1837 1881 2337 2706 3006 3173 3362 3674 3762 4059 4674 5043 5511 6346 6847 7011 8118 8569 9519 10086 11022 13694 14022 15129 16533 17138 18491 19038 20541 25707 28557 30258 31939 33066 34903 36982 41082 51414 55473 57114 61623 63878 69806 75317 77121 95817 104709 110946 123246 130093 150634 154242 166419 191634 209418 225951 260186 280727 287451 314127 332838 351329 390279 451902 561454 574902 628254 677853 702658 780558 842181 1053987 1170837 1355706 1431023 1684362 2107974 2341674 2526543 2862046 3087997 3161961 4293069 5053086 5333813 6175994 6323922 8586138 9263991 10667626 12879207 16001439 18527982 25758414 27791973 32002878 48004317 55583946 58671943 96008634 117343886 176015829 352031658 528047487 1056094974