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13062120 = 23351719337
BaseRepresentation
bin110001110100…
…111111101000
3220120121212020
4301310333220
511320441440
61143544440
7216011661
oct61647750
926517766
1013062120
117411845
12445b120
132924586
141a40368
1512303d0
hexc74fe8

13062120 has 128 divisors (see below), whose sum is σ = 43804800. Its totient is φ = 3096576.

The previous prime is 13062107. The next prime is 13062169. The reversal of 13062120 is 2126031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13062120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38592 + ... + 38928.

It is an arithmetic number, because the mean of its divisors is an integer number (342225).

Almost surely, 213062120 is an apocalyptic number.

13062120 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 13062120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

13062120 is an abundant number, since it is smaller than the sum of its proper divisors (30742680).

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

13062120 is a wasteful number, since it uses less digits than its factorization.

13062120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13062120 is about 3614.1555030187. The cubic root of 13062120 is about 235.5073992113.

Adding to 13062120 its reverse (2126031), we get a palindrome (15188151).

The spelling of 13062120 in words is "thirteen million, sixty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 152 170 190 204 228 255 285 323 337 340 380 408 456 510 570 646 674 680 760 969 1011 1020 1140 1292 1348 1615 1685 1938 2022 2040 2280 2584 2696 3230 3370 3876 4044 4845 5055 5729 6403 6460 6740 7752 8088 9690 10110 11458 12806 12920 13480 17187 19209 19380 20220 22916 25612 28645 32015 34374 38418 38760 40440 45832 51224 57290 64030 68748 76836 85935 96045 108851 114580 128060 137496 153672 171870 192090 217702 229160 256120 326553 343740 384180 435404 544255 653106 687480 768360 870808 1088510 1306212 1632765 2177020 2612424 3265530 4354040 6531060 13062120