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12272260 = 22571113613
BaseRepresentation
bin101110110100…
…001010000100
3212002111101011
4232310022010
511120203020
61115012004
7206212120
oct56641204
925074334
1012272260
116a22370
12413a004
132708bc0
1418b6580
15112635a
hexbb4284

12272260 has 96 divisors (see below), whose sum is σ = 34659072. Its totient is φ = 3525120.

The previous prime is 12272257. The next prime is 12272261. The reversal of 12272260 is 6227221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (12272261) 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, 19714 + ... + 20326.

It is an arithmetic number, because the mean of its divisors is an integer number (361032).

Almost surely, 212272260 is an apocalyptic number.

12272260 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 12272260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329536).

12272260 is an abundant number, since it is smaller than the sum of its proper divisors (22386812).

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

12272260 is a wasteful number, since it uses less digits than its factorization.

12272260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12272260 is about 3503.1785566825. The cubic root of 12272260 is about 230.6613604684.

Adding to 12272260 its reverse (6227221), we get a palindrome (18499481).

It can be divided in two parts, 12 and 272260, that added together give a palindrome (272272).

The spelling of 12272260 in words is "twelve million, two hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 613 715 770 910 1001 1226 1430 1540 1820 2002 2452 2860 3065 4004 4291 5005 6130 6743 7969 8582 10010 12260 13486 15938 17164 20020 21455 26972 31876 33715 39845 42910 47201 55783 67430 79690 85820 87659 94402 111566 134860 159380 175318 188804 223132 236005 278915 350636 438295 472010 557830 613613 876590 944020 1115660 1227226 1753180 2454452 3068065 6136130 12272260