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12672180 = 2233531757
BaseRepresentation
bin110000010101…
…110010110100
3212211210222000
4300111302310
511221002210
61131335300
7212466063
oct60256264
925753860
1012672180
117175884
1242b1530
132818c41
14197c1da
1511a4ac0
hexc15cb4

12672180 has 96 divisors (see below), whose sum is σ = 40750080. Its totient is φ = 3265920.

The previous prime is 12672169. The next prime is 12672181. The reversal of 12672180 is 8127621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16362 + ... + 17118.

It is an arithmetic number, because the mean of its divisors is an integer number (424480).

Almost surely, 212672180 is an apocalyptic number.

12672180 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 12672180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20375040).

12672180 is an abundant number, since it is smaller than the sum of its proper divisors (28077900).

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

12672180 is a wasteful number, since it uses less digits than its factorization.

12672180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12672180 is about 3559.8005562110. The cubic root of 12672180 is about 233.1401712030.

The spelling of 12672180 in words is "twelve million, six hundred seventy-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 757 837 930 1116 1395 1514 1674 1860 2271 2790 3028 3348 3785 4185 4542 5580 6813 7570 8370 9084 11355 13626 15140 16740 20439 22710 23467 27252 34065 40878 45420 46934 68130 70401 81756 93868 102195 117335 136260 140802 204390 211203 234670 281604 352005 408780 422406 469340 633609 704010 844812 1056015 1267218 1408020 2112030 2534436 3168045 4224060 6336090 12672180