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12976704 = 2632131733
BaseRepresentation
bin110001100000…
…001001000000
3220102021200200
4301200021000
511310223304
61142045200
7215204646
oct61401100
926367620
1012976704
117363654
124419800
1328c4730
141a1b196
151214e39
hexc60240

12976704 has 84 divisors (see below), whose sum is σ = 40079676. Its totient is φ = 3990528.

The previous prime is 12976703. The next prime is 12976721. The reversal of 12976704 is 40767921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 9290304 = 1920^2 + 3048^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (12976703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6622 + ... + 8354.

It is an arithmetic number, because the mean of its divisors is an integer number (477139).

Almost surely, 212976704 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 12976704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039838).

12976704 is an abundant number, since it is smaller than the sum of its proper divisors (27102972).

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

12976704 is a wasteful number, since it uses less digits than its factorization.

12976704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 12976704 is about 3602.3192529258. The cubic root of 12976704 is about 234.9929317325.

It can be divided in two parts, 1297 and 6704, that added together give a triangular number (8001 = T126).

The spelling of 12976704 in words is "twelve million, nine hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1733 1872 2496 3466 3744 5199 6932 7488 10398 13864 15597 20796 22529 27728 31194 41592 45058 55456 62388 67587 83184 90116 110912 124776 135174 166368 180232 202761 249552 270348 332736 360464 405522 499104 540696 720928 811044 998208 1081392 1441856 1622088 2162784 3244176 4325568 6488352 12976704