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12271620 = 22351753227
BaseRepresentation
bin101110110100…
…000000000100
3212002110111110
4232310000010
511120142440
61115005020
7206210214
oct56640004
925073443
1012271620
116a21939
124139770
13270881a
1418b6244
151126080
hexbb4004

12271620 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 3008512.

The previous prime is 12271613. The next prime is 12271621. The reversal of 12271620 is 2617221.

It is not an unprimeable number, because it can be changed into a prime (12271621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53947 + ... + 54173.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 212271620 is an apocalyptic number.

12271620 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 12271620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

12271620 is an abundant number, since it is smaller than the sum of its proper divisors (24959868).

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

12271620 is a wasteful number, since it uses less digits than its factorization.

12271620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

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

The square root of 12271620 is about 3503.0872098765. The cubic root of 12271620 is about 230.6573507251.

Adding to 12271620 its reverse (2617221), we get a palindrome (14888841).

The spelling of 12271620 in words is "twelve million, two hundred seventy-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 53 60 68 85 102 106 159 170 204 212 227 255 265 318 340 454 510 530 636 681 795 901 908 1020 1060 1135 1362 1590 1802 2270 2703 2724 3180 3405 3604 3859 4505 4540 5406 6810 7718 9010 10812 11577 12031 13515 13620 15436 18020 19295 23154 24062 27030 36093 38590 46308 48124 54060 57885 60155 72186 77180 115770 120310 144372 180465 204527 231540 240620 360930 409054 613581 721860 818108 1022635 1227162 2045270 2454324 3067905 4090540 6135810 12271620