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1356020928 = 26322354203
BaseRepresentation
bin101000011010011…
…0011110011000000
310111111121000000100
41100310303303000
510234120132203
6342320122400
745413662533
oct12064636300
93444530010
101356020928
11636490659
1231a166400
13187c20a62
14cc144a1a
157e0a8ea3
hex50d33cc0

1356020928 has 42 divisors (see below), whose sum is σ = 3886790804. Its totient is φ = 452006784.

The previous prime is 1356020927. The next prime is 1356020957. The reversal of 1356020928 is 8290206531.

1356020928 is a `hidden beast` number, since 1 + 3 + 560 + 2 + 0 + 92 + 8 = 666.

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 = 1356020892 and 1356020901.

It is not an unprimeable number, because it can be changed into a prime (1356020927) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1176526 + ... + 1177677.

Almost surely, 21356020928 is an apocalyptic number.

1356020928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1356020928 is an abundant number, since it is smaller than the sum of its proper divisors (2530769876).

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

1356020928 is a wasteful number, since it uses less digits than its factorization.

1356020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354221 (or 2354208 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1356020928 is about 36824.1894411812. The cubic root of 1356020928 is about 1106.8500713757.

The spelling of 1356020928 in words is "one billion, three hundred fifty-six million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2354203 4708406 7062609 9416812 14125218 18833624 21187827 28250436 37667248 42375654 56500872 75334496 84751308 113001744 150668992 169502616 226003488 339005232 452006976 678010464 1356020928