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12741372 = 22327231233
BaseRepresentation
bin110000100110…
…101011111100
3212222022212200
4300212223330
511230210442
61133031500
7213204600
oct60465374
925868780
1012741372
117212866
124325590
132841597
141999500
1511ba34c
hexc26afc

12741372 has 108 divisors (see below), whose sum is σ = 38840256. Its totient is φ = 3507840.

The previous prime is 12741367. The next prime is 12741397. The reversal of 12741372 is 27314721.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54568 + ... + 54800.

It is an arithmetic number, because the mean of its divisors is an integer number (359632).

Almost surely, 212741372 is an apocalyptic number.

12741372 is a gapful number since it is divisible by the number (12) 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 12741372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420128).

12741372 is an abundant number, since it is smaller than the sum of its proper divisors (26098884).

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

12741372 is a wasteful number, since it uses less digits than its factorization.

12741372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 12741372 is about 3569.5058481532. The cubic root of 12741372 is about 233.5637279877.

The spelling of 12741372 in words is "twelve million, seven hundred forty-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 233 252 279 294 372 434 441 466 558 588 651 699 868 882 932 1116 1302 1398 1519 1631 1764 1953 2097 2604 2796 3038 3262 3906 4194 4557 4893 6076 6524 7223 7812 8388 9114 9786 11417 13671 14446 14679 18228 19572 21669 22834 27342 28892 29358 34251 43338 45668 50561 54684 58716 65007 68502 86676 101122 102753 130014 137004 151683 202244 205506 260028 303366 353927 411012 455049 606732 707854 910098 1061781 1415708 1820196 2123562 3185343 4247124 6370686 12741372