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12962976 = 2531321747
BaseRepresentation
bin110001011100…
…110010100000
3220101120212020
4301130302200
511304303401
61141501440
7215116635
oct61346240
926346766
1012962976
117354304
124411880
1328bb400
141a1618c
151210d36
hexc5cca0

12962976 has 144 divisors (see below), whose sum is σ = 39844224. Its totient is φ = 3674112.

The previous prime is 12962951. The next prime is 12962981. The reversal of 12962976 is 67926921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275785 + ... + 275831.

It is an arithmetic number, because the mean of its divisors is an integer number (276696).

Almost surely, 212962976 is an apocalyptic number.

12962976 is a gapful number since it is divisible by the number (16) 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 12962976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922112).

12962976 is an abundant number, since it is smaller than the sum of its proper divisors (26881248).

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

12962976 is a wasteful number, since it uses less digits than its factorization.

12962976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 12962976 is about 3600.4133096077. The cubic root of 12962976 is about 234.9100364862.

The spelling of 12962976 in words is "twelve million, nine hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 47 48 51 52 68 78 94 96 102 104 136 141 156 169 188 204 208 221 272 282 312 338 376 408 416 442 507 544 564 611 624 663 676 752 799 816 884 1014 1128 1222 1248 1326 1352 1504 1598 1632 1768 1833 2028 2256 2397 2444 2652 2704 2873 3196 3536 3666 4056 4512 4794 4888 5304 5408 5746 6392 7072 7332 7943 8112 8619 9588 9776 10387 10608 11492 12784 14664 15886 16224 17238 19176 19552 20774 21216 22984 23829 25568 29328 31161 31772 34476 38352 41548 45968 47658 58656 62322 63544 68952 76704 83096 91936 95316 124644 127088 135031 137904 166192 190632 249288 254176 270062 275808 332384 381264 405093 498576 540124 762528 810186 997152 1080248 1620372 2160496 3240744 4320992 6481488 12962976