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12690864 = 2433291013
BaseRepresentation
bin110000011010…
…010110110000
3212212202121000
4300122112300
511222101424
61132002000
7212604414
oct60322660
925782530
1012690864
11718891a
124300300
1328245b4
141984d44
1511aa3c9
hexc1a5b0

12690864 has 80 divisors (see below), whose sum is σ = 37720800. Its totient is φ = 4080384.

The previous prime is 12690859. The next prime is 12690883. The reversal of 12690864 is 46809621.

It is a super-2 number, since 2×126908642 = 322116058132992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12022 + ... + 13034.

It is an arithmetic number, because the mean of its divisors is an integer number (471510).

Almost surely, 212690864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12690864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860400).

12690864 is an abundant number, since it is smaller than the sum of its proper divisors (25029936).

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

12690864 is a wasteful number, since it uses less digits than its factorization.

12690864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 12690864 is about 3562.4238939239. The cubic root of 12690864 is about 233.2546964036.

The spelling of 12690864 in words is "twelve million, six hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1013 1044 1392 1566 2026 2088 3039 3132 4052 4176 6078 6264 8104 9117 12156 12528 16208 18234 24312 27351 29377 36468 48624 54702 58754 72936 88131 109404 117508 145872 176262 218808 235016 264393 352524 437616 470032 528786 705048 793179 1057572 1410096 1586358 2115144 3172716 4230288 6345432 12690864