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12293960 = 235723283
BaseRepresentation
bin101110111001…
…011101001000
3212010121010212
4232321131020
511121401320
61115300252
7206332310
oct56713510
925117125
1012293960
116a376a8
12414a688
132715a43
1418c0440
15112c9c5
hexbb9748

12293960 has 96 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 3983232.

The previous prime is 12293951. The next prime is 12293971. The reversal of 12293960 is 6939221.

12293960 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×122939602 = 302282904963200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 148079 + ... + 148161.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 212293960 is an apocalyptic number.

12293960 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 12293960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

12293960 is an abundant number, since it is smaller than the sum of its proper divisors (21151480).

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

12293960 is a wasteful number, since it uses less digits than its factorization.

12293960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 12293960 is about 3506.2743760293. The cubic root of 12293960 is about 230.7972334110.

The spelling of 12293960 in words is "twelve million, two hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 83 92 115 140 161 166 184 230 280 322 332 415 460 529 581 644 664 805 830 920 1058 1162 1288 1610 1660 1909 2116 2324 2645 2905 3220 3320 3703 3818 4232 4648 5290 5810 6440 7406 7636 9545 10580 11620 13363 14812 15272 18515 19090 21160 23240 26726 29624 37030 38180 43907 53452 66815 74060 76360 87814 106904 133630 148120 175628 219535 267260 307349 351256 439070 534520 614698 878140 1229396 1536745 1756280 2458792 3073490 6146980 12293960