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1056136428 = 223341923339
BaseRepresentation
bin111110111100110…
…101110011101100
32201121022021211000
4332330311303230
54130332331203
6252444400300
735113003644
oct7674656354
92647267730
101056136428
114a2185a26
12255846090
1313aa636c9
14a03a1524
1562abe4a3
hex3ef35cec

1056136428 has 48 divisors (see below), whose sum is σ = 2744784000. Its totient is φ = 351190224.

The previous prime is 1056136423. The next prime is 1056136429. The reversal of 1056136428 is 8246316501.

It is a happy number.

1056136428 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 1 + 3 + 642 + 8 = 666.

It is a super-2 number, since 2×10561364282 = 2230848309097198368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1056136392 and 1056136401.

It is not an unprimeable number, because it can be changed into a prime (1056136421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33583 + ... + 56921.

It is an arithmetic number, because the mean of its divisors is an integer number (57183000).

Almost surely, 21056136428 is an apocalyptic number.

1056136428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1056136428 is an abundant number, since it is smaller than the sum of its proper divisors (1688647572).

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

1056136428 is a wasteful number, since it uses less digits than its factorization.

1056136428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23771 (or 23763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1056136428 is about 32498.2526914910. The cubic root of 1056136428 is about 1018.3725257507.

The spelling of 1056136428 in words is "one billion, fifty-six million, one hundred thirty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 419 838 1257 1676 2514 3771 5028 7542 11313 15084 22626 23339 45252 46678 70017 93356 140034 210051 280068 420102 630153 840204 1260306 2520612 9779041 19558082 29337123 39116164 58674246 88011369 117348492 176022738 264034107 352045476 528068214 1056136428