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1357613232 = 243195328087
BaseRepresentation
bin101000011101011…
…1000100010110000
310111121120220020120
41100322320202300
510240022110412
6342414210240
745433344033
oct12072704260
93447526216
101357613232
11637378a08
1231a7b3980
1318835a751
14cc43b01a
157e2c0b8c
hex50eb88b0

1357613232 has 80 divisors (see below), whose sum is σ = 3761544960. Its totient is φ = 420615936.

The previous prime is 1357613227. The next prime is 1357613269. The reversal of 1357613232 is 2323167531.

It is a super-2 number, since 2×13576132322 = 3686227375402971648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1357613193 and 1357613202.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34293 + ... + 62379.

It is an arithmetic number, because the mean of its divisors is an integer number (47019312).

Almost surely, 21357613232 is an apocalyptic number.

1357613232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357613232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880772480).

1357613232 is an abundant number, since it is smaller than the sum of its proper divisors (2403931728).

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

1357613232 is a wasteful number, since it uses less digits than its factorization.

1357613232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28170 (or 28164 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 1357613232 is about 36845.8034516823. The cubic root of 1357613232 is about 1107.2831405027.

The spelling of 1357613232 in words is "one billion, three hundred fifty-seven million, six hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 848 912 1007 1272 2014 2544 3021 4028 6042 8056 12084 16112 24168 28087 48336 56174 84261 112348 168522 224696 337044 449392 533653 674088 1067306 1348176 1488611 1600959 2134612 2977222 3201918 4269224 4465833 5954444 6403836 8538448 8931666 11908888 12807672 17863332 23817776 25615344 28283609 35726664 56567218 71453328 84850827 113134436 169701654 226268872 339403308 452537744 678806616 1357613232