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12966804 = 2234311291
BaseRepresentation
bin110001011101…
…101110010100
3220101210010000
4301131232110
511304414204
61141531300
7215134044
oct61355624
926353100
1012966804
117357174
124413b30
1328c0086
141a17724
151212039
hexc5db94

12966804 has 60 divisors (see below), whose sum is σ = 35018368. Its totient is φ = 4179600.

The previous prime is 12966803. The next prime is 12966809. The reversal of 12966804 is 40866921.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12966803) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9399 + ... + 10689.

Almost surely, 212966804 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 12966804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17509184).

12966804 is an abundant number, since it is smaller than the sum of its proper divisors (22051564).

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

12966804 is a wasteful number, since it uses less digits than its factorization.

12966804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1327 counting only the distinct ones).

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

The square root of 12966804 is about 3600.9448760013. The cubic root of 12966804 is about 234.9331573889.

It can be divided in two parts, 1296 and 6804, that added together give a square (8100 = 902).

The spelling of 12966804 in words is "twelve million, nine hundred sixty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1291 1674 2511 2582 3348 3873 5022 5164 7746 10044 11619 15492 23238 34857 40021 46476 69714 80042 104571 120063 139428 160084 209142 240126 360189 418284 480252 720378 1080567 1440756 2161134 3241701 4322268 6483402 12966804