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13105620 = 22325116619
BaseRepresentation
bin110001111111…
…100111010100
3220122211112100
4301333213110
511323334440
61144522100
7216252543
oct61774724
926584470
1013105620
1174414a0
124480330
13293b308
141a5215a
15123d230
hexc7f9d4

13105620 has 72 divisors (see below), whose sum is σ = 43374240. Its totient is φ = 3176640.

The previous prime is 13105619. The next prime is 13105637. The reversal of 13105620 is 2650131.

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 = 13105593 and 13105602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 5289.

It is an arithmetic number, because the mean of its divisors is an integer number (602420).

Almost surely, 213105620 is an apocalyptic number.

13105620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13105620 is an abundant number, since it is smaller than the sum of its proper divisors (30268620).

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

13105620 is a wasteful number, since it uses less digits than its factorization.

13105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13105620 is about 3620.1685043655. The cubic root of 13105620 is about 235.7685416232.

Adding to 13105620 its reverse (2650131), we get a palindrome (15755751).

The spelling of 13105620 in words is "thirteen million, one hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6619 13238 19857 26476 33095 39714 59571 66190 72809 79428 99285 119142 132380 145618 198570 218427 238284 291236 297855 364045 397140 436854 595710 655281 728090 873708 1092135 1191420 1310562 1456180 2184270 2621124 3276405 4368540 6552810 13105620