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12272680 = 235753827
BaseRepresentation
bin101110110100…
…010000101000
3212002111221201
4232310100220
511120211210
61115013544
7206213260
oct56642050
925074851
1012272680
116a22712
12413a2b4
132709154
1418b67a0
15112653a
hexbb4428

12272680 has 64 divisors (see below), whose sum is σ = 32192640. Its totient is φ = 4123392.

The previous prime is 12272671. The next prime is 12272681. The reversal of 12272680 is 8627221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12272681) 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, 14427 + ... + 15253.

It is an arithmetic number, because the mean of its divisors is an integer number (503010).

Almost surely, 212272680 is an apocalyptic number.

12272680 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 12272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096320).

12272680 is an abundant number, since it is smaller than the sum of its proper divisors (19919960).

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

12272680 is a wasteful number, since it uses less digits than its factorization.

12272680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 12272680 is about 3503.2385017295. The cubic root of 12272680 is about 230.6639917867.

The spelling of 12272680 in words is "twelve million, two hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 827 1060 1484 1654 1855 2120 2968 3308 3710 4135 5789 6616 7420 8270 11578 14840 16540 23156 28945 33080 43831 46312 57890 87662 115780 175324 219155 231560 306817 350648 438310 613634 876620 1227268 1534085 1753240 2454536 3068170 6136340 12272680