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13272920 = 23517131149
BaseRepresentation
bin110010101000…
…011101011000
3220222100000122
4302220131120
511344213140
61152252412
7220550363
oct62503530
926870018
1013272920
117546161
124541108
1329994cb
141a970da
151272ab5
hexca8758

13272920 has 64 divisors (see below), whose sum is σ = 32076000. Its totient is φ = 4925440.

The previous prime is 13272913. The next prime is 13272943. The reversal of 13272920 is 2927231.

It is a self number, because there is not a number n which added to its sum of digits gives 13272920.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 89006 + ... + 89154.

Almost surely, 213272920 is an apocalyptic number.

13272920 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 13272920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16038000).

13272920 is an abundant number, since it is smaller than the sum of its proper divisors (18803080).

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

13272920 is a wasteful number, since it uses less digits than its factorization.

13272920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13272920 is about 3643.2018884492. The cubic root of 13272920 is about 236.7675383887.

The spelling of 13272920 in words is "thirteen million, two hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 131 136 149 170 262 298 340 524 596 655 680 745 1048 1192 1310 1490 2227 2533 2620 2980 4454 5066 5240 5960 8908 10132 11135 12665 17816 19519 20264 22270 25330 39038 44540 50660 78076 89080 97595 101320 156152 195190 331823 390380 663646 780760 1327292 1659115 2654584 3318230 6636460 13272920