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1056232728 = 233214669899
BaseRepresentation
bin111110111101001…
…101010100011000
32201121111011220200
4332331031110120
54130343421403
6252450422200
735113554465
oct7675152430
92647434820
101056232728
114a2241311
12255891960
1313aa984a5
14a03c866c
1562adcca3
hex3ef4d518

1056232728 has 24 divisors (see below), whose sum is σ = 2860630500. Its totient is φ = 352077552.

The previous prime is 1056232721. The next prime is 1056232741. The reversal of 1056232728 is 8272326501.

1056232728 is a `hidden beast` number, since 1 + 0 + 5 + 623 + 2 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10562327282 = 2231255151396643968, 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 = 1056232692 and 1056232701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056232721) 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 5 ways as a sum of consecutive naturals, for example, 7334878 + ... + 7335021.

Almost surely, 21056232728 is an apocalyptic number.

1056232728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1056232728 is an abundant number, since it is smaller than the sum of its proper divisors (1804397772).

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

1056232728 is a wasteful number, since it uses less digits than its factorization.

1056232728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669911 (or 14669904 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1056232728 is about 32499.7342758368. The cubic root of 1056232728 is about 1018.4034770215.

The spelling of 1056232728 in words is "one billion, fifty-six million, two hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 14669899 29339798 44009697 58679596 88019394 117359192 132029091 176038788 264058182 352077576 528116364 1056232728