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682953680 = 2458536921
BaseRepresentation
bin101000101101010…
…000101111010000
31202121002122022202
4220231100233100
52344314004210
6151434022332
722632003413
oct5055205720
91677078282
10682953680
11320567232
121708779a8
13ab651506
14669bbb7a
153ee569a5
hex28b50bd0

682953680 has 20 divisors (see below), whose sum is σ = 1587867492. Its totient is φ = 273181440.

The previous prime is 682953679. The next prime is 682953709. The reversal of 682953680 is 86359286.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 136142224 + 546811456 = 11668^2 + 23384^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4268381 + ... + 4268540.

Almost surely, 2682953680 is an apocalyptic number.

It is an amenable number.

682953680 is an abundant number, since it is smaller than the sum of its proper divisors (904913812).

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

682953680 is a wasteful number, since it uses less digits than its factorization.

682953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536934 (or 8536928 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 682953680 is about 26133.3824829470. The cubic root of 682953680 is about 880.6373138151.

The spelling of 682953680 in words is "six hundred eighty-two million, nine hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 8536921 17073842 34147684 42684605 68295368 85369210 136590736 170738420 341476840 682953680