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13328523 = 3313223127
BaseRepresentation
bin110010110110…
…000010001011
3221002011022000
4302312002023
511403003043
61153402043
7221201445
oct62660213
927064260
1013328523
117583a0a
124569323
1329b8900
141aad495
1512842d3
hexcb608b

13328523 has 48 divisors (see below), whose sum is σ = 22487040. Its totient is φ = 7783776.

The previous prime is 13328521. The next prime is 13328537. The reversal of 13328523 is 32582331.

13328523 is a `hidden beast` number, since 133 + 2 + 8 + 523 = 666.

It is not a de Polignac number, because 13328523 - 21 = 13328521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13328521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104886 + ... + 105012.

It is an arithmetic number, because the mean of its divisors is an integer number (468480).

Almost surely, 213328523 is an apocalyptic number.

13328523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13328523 is a deficient number, since it is larger than the sum of its proper divisors (9158517).

13328523 is a wasteful number, since it uses less digits than its factorization.

13328523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 13328523 is about 3650.8249752624. The cubic root of 13328523 is about 237.0977004653.

The spelling of 13328523 in words is "thirteen million, three hundred twenty-eight thousand, five hundred twenty-three".

Divisors: 1 3 9 13 23 27 39 69 117 127 169 207 299 351 381 507 621 897 1143 1521 1651 2691 2921 3429 3887 4563 4953 8073 8763 11661 14859 21463 26289 34983 37973 44577 64389 78867 104949 113919 193167 341757 493649 579501 1025271 1480947 4442841 13328523