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680927232 = 2133103269
BaseRepresentation
bin101000100101100…
…010000000000000
31202110021200120010
4220211202000000
52343304132412
6151322344520
722605533406
oct5045420000
91673250503
10680927232
1131a402787
1217005b140
13ab0c202b
1466611476
153eba633c
hex28962000

680927232 has 112 divisors (see below), whose sum is σ = 1840138560. Its totient is φ = 223936512.

The previous prime is 680927209. The next prime is 680927237. The reversal of 680927232 is 232729086.

It is not an unprimeable number, because it can be changed into a prime (680927237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2531194 + ... + 2531462.

Almost surely, 2680927232 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 680927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920069280).

680927232 is an abundant number, since it is smaller than the sum of its proper divisors (1159211328).

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

680927232 is a wasteful number, since it uses less digits than its factorization.

680927232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 680927232 is about 26094.5824262432. The cubic root of 680927232 is about 879.7654471303.

The spelling of 680927232 in words is "six hundred eighty million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 269 309 384 412 512 538 618 768 807 824 1024 1076 1236 1536 1614 1648 2048 2152 2472 3072 3228 3296 4096 4304 4944 6144 6456 6592 8192 8608 9888 12288 12912 13184 17216 19776 24576 25824 26368 27707 34432 39552 51648 52736 55414 68864 79104 83121 103296 105472 110828 137728 158208 166242 206592 210944 221656 275456 316416 332484 413184 421888 443312 550912 632832 664968 826368 843776 886624 1101824 1265664 1329936 1652736 1773248 2203648 2531328 2659872 3305472 3546496 5319744 6610944 7092992 10639488 14185984 21278976 28371968 42557952 56743936 85115904 113487872 170231808 226975744 340463616 680927232