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12274680 = 23351117547
BaseRepresentation
bin101110110100…
…101111111000
3212002121200210
4232310233320
511120242210
61115031120
7206222145
oct56645770
925077623
1012274680
116a24170
12413b4a0
13270a032
1418b73cc
151126e20
hexbb4bf8

12274680 has 128 divisors (see below), whose sum is σ = 42612480. Its totient is φ = 2795520.

The previous prime is 12274657. The next prime is 12274681. The reversal of 12274680 is 8647221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274681) 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, 22167 + ... + 22713.

It is an arithmetic number, because the mean of its divisors is an integer number (332910).

Almost surely, 212274680 is an apocalyptic number.

12274680 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 12274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21306240).

12274680 is an abundant number, since it is smaller than the sum of its proper divisors (30337800).

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

12274680 is a wasteful number, since it uses less digits than its factorization.

12274680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12274680 is about 3503.5239402636. The cubic root of 12274680 is about 230.6765210502.

The spelling of 12274680 in words is "twelve million, two hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 547 561 660 680 748 935 1020 1094 1122 1320 1496 1641 1870 2040 2188 2244 2735 2805 3282 3740 4376 4488 5470 5610 6017 6564 7480 8205 9299 10940 11220 12034 13128 16410 18051 18598 21880 22440 24068 27897 30085 32820 36102 37196 46495 48136 55794 60170 65640 72204 74392 90255 92990 102289 111588 120340 139485 144408 180510 185980 204578 223176 240680 278970 306867 361020 371960 409156 511445 557940 613734 722040 818312 1022890 1115880 1227468 1534335 2045780 2454936 3068670 4091560 6137340 12274680