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680403136 = 26714910193
BaseRepresentation
bin101000100011100…
…010000011000000
31202102022001122011
4220203202003000
52343140400021
6151303222304
722601221420
oct5043420300
91672261564
10680403136
1131a084a46
1216ba47994
13aac6a60a
1466516480
153eb00de1
hex288e20c0

680403136 has 56 divisors (see below), whose sum is σ = 1553565600. Its totient is φ = 289615872.

The previous prime is 680403107. The next prime is 680403149. The reversal of 680403136 is 631304086.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 680403098 and 680403107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61656 + ... + 71848.

Almost surely, 2680403136 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 680403136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776782800).

680403136 is an abundant number, since it is smaller than the sum of its proper divisors (873162464).

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

680403136 is a wasteful number, since it uses less digits than its factorization.

680403136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10361 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 680403136 is about 26084.5382554493. The cubic root of 680403136 is about 879.5396766046.

The spelling of 680403136 in words is "six hundred eighty million, four hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 1043 1192 2086 2384 4172 4768 8344 9536 10193 16688 20386 33376 40772 66752 71351 81544 142702 163088 285404 326176 570808 652352 1141616 1518757 2283232 3037514 4566464 6075028 10631299 12150056 21262598 24300112 42525196 48600224 85050392 97200448 170100784 340201568 680403136