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13057044 = 223711131087
BaseRepresentation
bin110001110011…
…110000010100
3220120100220020
4301303300110
511320311134
61143505140
7215661120
oct61636024
926510806
1013057044
117408a50
1244581b0
132922180
141a3c580
15122db49
hexc73c14

13057044 has 96 divisors (see below), whose sum is σ = 40943616. Its totient is φ = 3127680.

The previous prime is 13057043. The next prime is 13057049. The reversal of 13057044 is 44075031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057043) 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 31 ways as a sum of consecutive naturals, for example, 11469 + ... + 12555.

It is an arithmetic number, because the mean of its divisors is an integer number (426496).

Almost surely, 213057044 is an apocalyptic number.

13057044 is a gapful number since it is divisible by the number (14) 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 13057044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471808).

13057044 is an abundant number, since it is smaller than the sum of its proper divisors (27886572).

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

13057044 is a wasteful number, since it uses less digits than its factorization.

13057044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 13057044 is about 3613.4531960439. The cubic root of 13057044 is about 235.4768888387.

The spelling of 13057044 in words is "thirteen million, fifty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1087 1092 1716 2002 2174 3003 3261 4004 4348 6006 6522 7609 11957 12012 13044 14131 15218 22827 23914 28262 30436 35871 42393 45654 47828 56524 71742 83699 84786 91308 98917 143484 155441 167398 169572 197834 251097 296751 310882 334796 395668 466323 502194 593502 621764 932646 1004388 1088087 1187004 1865292 2176174 3264261 4352348 6528522 13057044