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680951232 = 26331330313
BaseRepresentation
bin101000100101100…
…111110111000000
31202110022220111000
4220211213313000
52343310414412
6151323052000
722605663363
oct5045476700
91673286430
10680951232
1131a419815
12170071000
13ab0ccc30
146661a0da
153ebad4dc
hex28967dc0

680951232 has 112 divisors (see below), whose sum is σ = 2155931680. Its totient is φ = 209516544.

The previous prime is 680951213. The next prime is 680951237. The reversal of 680951232 is 232159086.

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 (680951237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7308 + ... + 37620.

It is an arithmetic number, because the mean of its divisors is an integer number (19249390).

Almost surely, 2680951232 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 680951232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077965840).

680951232 is an abundant number, since it is smaller than the sum of its proper divisors (1474980448).

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

680951232 is a wasteful number, since it uses less digits than its factorization.

680951232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30347 (or 30331 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 680951232 is about 26095.0422877603. The cubic root of 680951232 is about 879.7757830966.

The spelling of 680951232 in words is "six hundred eighty million, nine hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 30313 60626 90939 121252 181878 242504 272817 363756 394069 485008 545634 727512 788138 818451 970016 1091268 1182207 1455024 1576276 1636902 1940032 2182536 2364414 2910048 3152552 3273804 3546621 4365072 4728828 5820096 6305104 6547608 7093242 8730144 9457656 10639863 12610208 13095216 14186484 17460288 18915312 21279726 25220416 26190432 28372968 37830624 42559452 52380864 56745936 75661248 85118904 113491872 170237808 226983744 340475616 680951232