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1056577068 = 223329337349
BaseRepresentation
bin111110111110100…
…001011000101100
32201122010200021000
4332332201120230
54130440431233
6252502040300
735116520421
oct7676413054
92648120230
101056577068
114a2456a98
12255a19090
1313ab89141
14a0477d48
1562b59d13
hex3efa162c

1056577068 has 48 divisors (see below), whose sum is σ = 2833740000. Its totient is φ = 340046784.

The previous prime is 1056577063. The next prime is 1056577073. The reversal of 1056577068 is 8607756501.

1056577068 is a `hidden beast` number, since 10 + 5 + 6 + 577 + 0 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1056577063) and next prime (1056577073).

It is a super-2 number, since 2×10565770682 = 2232710201246953248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1056577063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 165543 + ... + 171806.

It is an arithmetic number, because the mean of its divisors is an integer number (59036250).

Almost surely, 21056577068 is an apocalyptic number.

1056577068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1056577068 is an abundant number, since it is smaller than the sum of its proper divisors (1777162932).

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

1056577068 is a wasteful number, since it uses less digits than its factorization.

1056577068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337391 (or 337383 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 1056577068 is about 32505.0314259193. The cubic root of 1056577068 is about 1018.5141341216.

The spelling of 1056577068 in words is "one billion, fifty-six million, five hundred seventy-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 337349 674698 1012047 1349396 2024094 3036141 4048188 6072282 9108423 9783121 12144564 18216846 19566242 29349363 36433692 39132484 58698726 88048089 117397452 176096178 264144267 352192356 528288534 1056577068