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12962712 = 23371931131
BaseRepresentation
bin110001011100…
…101110011000
3220101120111110
4301130232120
511304301322
61141500320
7215116110
oct61345630
926346443
1012962712
117354094
1244116a0
1328bb259
141a16040
151210c0c
hexc5cb98

12962712 has 128 divisors (see below), whose sum is σ = 40550400. Its totient is φ = 3369600.

The previous prime is 12962701. The next prime is 12962749. The reversal of 12962712 is 21726921.

12962712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12962712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98887 + ... + 99017.

It is an arithmetic number, because the mean of its divisors is an integer number (316800).

Almost surely, 212962712 is an apocalyptic number.

12962712 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 12962712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20275200).

12962712 is an abundant number, since it is smaller than the sum of its proper divisors (27587688).

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

12962712 is a wasteful number, since it uses less digits than its factorization.

12962712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 12962712 is about 3600.3766469635. The cubic root of 12962712 is about 234.9084417735.

The spelling of 12962712 in words is "twelve million, nine hundred sixty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 131 133 152 168 186 217 228 248 262 266 372 393 399 434 456 524 532 589 651 744 786 798 868 917 1048 1064 1178 1302 1572 1596 1736 1767 1834 2356 2489 2604 2751 3144 3192 3534 3668 4061 4123 4712 4978 5208 5502 7068 7336 7467 8122 8246 9956 11004 12183 12369 14136 14934 16244 16492 17423 19912 22008 24366 24738 28427 29868 32488 32984 34846 48732 49476 52269 56854 59736 69692 77159 85281 97464 98952 104538 113708 139384 154318 170562 209076 227416 231477 308636 341124 418152 462954 540113 617272 682248 925908 1080226 1620339 1851816 2160452 3240678 4320904 6481356 12962712