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13246920 = 23325311187
BaseRepresentation
bin110010100010…
…000111001000
3220221000100200
4302202013020
511342400140
61151532200
7220411521
oct62420710
926830320
1013246920
117528675
12452a060
13298a71b
141a8b848
15126a030
hexca21c8

13246920 has 96 divisors (see below), whose sum is σ = 44478720. Its totient is φ = 3415680.

The previous prime is 13246907. The next prime is 13246931. The reversal of 13246920 is 2964231.

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, 10567 + ... + 11753.

It is an arithmetic number, because the mean of its divisors is an integer number (463320).

Almost surely, 213246920 is an apocalyptic number.

13246920 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 13246920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22239360).

13246920 is an abundant number, since it is smaller than the sum of its proper divisors (31231800).

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

13246920 is a wasteful number, since it uses less digits than its factorization.

13246920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13246920 is about 3639.6318495145. The cubic root of 13246920 is about 236.6128379419.

It can be divided in two parts, 132 and 46920, that multiplied together give a triangular number (6193440 = T3519).

The spelling of 13246920 in words is "thirteen million, two hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1187 1240 1395 1860 2232 2374 2790 3561 3720 4748 5580 5935 7122 9496 10683 11160 11870 14244 17805 21366 23740 28488 35610 36797 42732 47480 53415 71220 73594 85464 106830 110391 142440 147188 183985 213660 220782 294376 331173 367970 427320 441564 551955 662346 735940 883128 1103910 1324692 1471880 1655865 2207820 2649384 3311730 4415640 6623460 13246920