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13514928 = 2437192973
BaseRepresentation
bin110011100011…
…100010110000
3221102121222220
4303203202300
511424434203
61201401040
7222606060
oct63434260
927377886
1013514928
1176a0a69
124639180
132a526cb
141b1b3a0
1512be653
hexce38b0

13514928 has 160 divisors (see below), whose sum is σ = 44044800. Its totient is φ = 3483648.

The previous prime is 13514927. The next prime is 13514929. The reversal of 13514928 is 82941531.

It is an interprime number because it is at equal distance from previous prime (13514927) and next prime (13514929).

It is not an unprimeable number, because it can be changed into a prime (13514923) 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, 185100 + ... + 185172.

It is an arithmetic number, because the mean of its divisors is an integer number (275280).

Almost surely, 213514928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13514928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22022400).

13514928 is an abundant number, since it is smaller than the sum of its proper divisors (30529872).

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

13514928 is a wasteful number, since it uses less digits than its factorization.

13514928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 13514928 is about 3676.2654963971. The cubic root of 13514928 is about 238.1978911057.

The spelling of 13514928 in words is "thirteen million, five hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 29 38 42 48 56 57 58 73 76 84 87 112 114 116 133 146 152 168 174 203 219 228 232 266 292 304 336 348 399 406 438 456 464 511 532 551 584 609 696 798 812 876 912 1022 1064 1102 1168 1218 1387 1392 1533 1596 1624 1653 1752 2044 2117 2128 2204 2436 2774 3066 3192 3248 3306 3504 3857 4088 4161 4234 4408 4872 5548 6132 6351 6384 6612 7714 8176 8322 8468 8816 9709 9744 11096 11571 12264 12702 13224 14819 15428 16644 16936 19418 22192 23142 24528 25404 26448 29127 29638 30856 33288 33872 38836 40223 44457 46284 50808 58254 59276 61712 66576 77672 80446 88914 92568 101616 116508 118552 120669 155344 160892 177828 185136 233016 237104 241338 281561 321784 355656 466032 482676 563122 643568 711312 844683 965352 1126244 1689366 1930704 2252488 3378732 4504976 6757464 13514928