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12272160 = 253537691
BaseRepresentation
bin101110110100…
…001000100000
3212002111020110
4232310020200
511120202120
61115011320
7206211615
oct56641040
925074213
1012272160
116a2228a
124139b40
132708b44
1418b650c
1511262e0
hexbb4220

12272160 has 96 divisors (see below), whose sum is σ = 39759552. Its totient is φ = 3179520.

The previous prime is 12272159. The next prime is 12272167. The reversal of 12272160 is 6127221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×122721602 = 301211822131200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12272167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17415 + ... + 18105.

It is an arithmetic number, because the mean of its divisors is an integer number (414162).

Almost surely, 212272160 is an apocalyptic number.

12272160 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 12272160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879776).

12272160 is an abundant number, since it is smaller than the sum of its proper divisors (27487392).

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

12272160 is a wasteful number, since it uses less digits than its factorization.

12272160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 12272160 is about 3503.1642839011. The cubic root of 12272160 is about 230.6607339552.

Adding to 12272160 its reverse (6127221), we get a palindrome (18399381).

The spelling of 12272160 in words is "twelve million, two hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 691 740 888 1110 1184 1382 1480 1776 2073 2220 2764 2960 3455 3552 4146 4440 5528 5920 6910 8292 8880 10365 11056 13820 16584 17760 20730 22112 25567 27640 33168 41460 51134 55280 66336 76701 82920 102268 110560 127835 153402 165840 204536 255670 306804 331680 383505 409072 511340 613608 767010 818144 1022680 1227216 1534020 2045360 2454432 3068040 4090720 6136080 12272160