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13412520 = 23335111129
BaseRepresentation
bin110011001010…
…100010101000
3221020102112000
4303022202220
511413200040
61155251000
7222001362
oct63124250
927212460
1013412520
117631030
1245a9a60
132a17c04
141ad1d32
15129e130
hexcca8a8

13412520 has 128 divisors (see below), whose sum is σ = 48816000. Its totient is φ = 3248640.

The previous prime is 13412513. The next prime is 13412521. The reversal of 13412520 is 2521431.

13412520 is a `hidden beast` number, since 134 + 12 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13412493 and 13412502.

It is not an unprimeable number, because it can be changed into a prime (13412521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11316 + ... + 12444.

It is an arithmetic number, because the mean of its divisors is an integer number (381375).

Almost surely, 213412520 is an apocalyptic number.

13412520 is a gapful number since it is divisible by the number (10) 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 13412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408000).

13412520 is an abundant number, since it is smaller than the sum of its proper divisors (35403480).

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

13412520 is a wasteful number, since it uses less digits than its factorization.

13412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13412520 is about 3662.3107459635. The cubic root of 13412520 is about 237.5947249109.

Adding to 13412520 its reverse (2521431), we get a palindrome (15933951).

The spelling of 13412520 in words is "thirteen million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1129 1188 1320 1485 1980 2258 2376 2970 3387 3960 4516 5645 5940 6774 9032 10161 11290 11880 12419 13548 16935 20322 22580 24838 27096 30483 33870 37257 40644 45160 49676 50805 60966 62095 67740 74514 81288 99352 101610 111771 121932 124190 135480 149028 152415 186285 203220 223542 243864 248380 298056 304830 335313 372570 406440 447084 496760 558855 609660 670626 745140 894168 1117710 1219320 1341252 1490280 1676565 2235420 2682504 3353130 4470840 6706260 13412520