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12713472 = 29323189
BaseRepresentation
bin110000011111…
…111000000000
3212220220121100
4300133320000
511223312342
61132254400
7213030342
oct60377000
925826540
1012713472
1171a3902
124311400
132831985
14198d292
1511b1e4c
hexc1fe00

12713472 has 120 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 4055040.

The previous prime is 12713447. The next prime is 12713507. The reversal of 12713472 is 27431721.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142804 + ... + 142892.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 212713472 is an apocalyptic number.

12713472 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 12713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

12713472 is an abundant number, since it is smaller than the sum of its proper divisors (25587648).

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

12713472 is an equidigital number, since it uses as much as digits as its factorization.

12713472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

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

The square root of 12713472 is about 3565.5956024204. The cubic root of 12713472 is about 233.3931239067.

The spelling of 12713472 in words is "twelve million, seven hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 89 93 96 124 128 144 178 186 192 248 256 267 279 288 356 372 384 496 512 534 558 576 712 744 768 801 992 1068 1116 1152 1424 1488 1536 1602 1984 2136 2232 2304 2759 2848 2976 3204 3968 4272 4464 4608 5518 5696 5952 6408 7936 8277 8544 8928 11036 11392 11904 12816 15872 16554 17088 17856 22072 22784 23808 24831 25632 33108 34176 35712 44144 45568 47616 49662 51264 66216 68352 71424 88288 99324 102528 132432 136704 142848 176576 198648 205056 264864 353152 397296 410112 529728 706304 794592 1059456 1412608 1589184 2118912 3178368 4237824 6356736 12713472