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680790312 = 233329251433
BaseRepresentation
bin101000100101000…
…000100100101000
31202110000201202000
4220211000210220
52343240242222
6151315411000
722604423256
oct5045004450
91673021660
10680790312
1131a319924
1216bbb3a60
13ab074907
14665b75d6
153eb7a9ac
hex28940928

680790312 has 128 divisors (see below), whose sum is σ = 1968624000. Its totient is φ = 217728000.

The previous prime is 680790307. The next prime is 680790359. The reversal of 680790312 is 213097086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572048 + ... + 1572480.

It is an arithmetic number, because the mean of its divisors is an integer number (15379875).

Almost surely, 2680790312 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 680790312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312000).

680790312 is an abundant number, since it is smaller than the sum of its proper divisors (1287833688).

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

680790312 is a wasteful number, since it uses less digits than its factorization.

680790312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 680790312 is about 26091.9587612736. The cubic root of 680790312 is about 879.7064757973.

The spelling of 680790312 in words is "six hundred eighty million, seven hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 251 261 348 433 502 522 696 753 783 866 1004 1044 1299 1506 1566 1732 2008 2088 2259 2598 3012 3132 3464 3897 4518 5196 6024 6264 6777 7279 7794 9036 10392 11691 12557 13554 14558 15588 18072 21837 23382 25114 27108 29116 31176 37671 43674 46764 50228 54216 58232 65511 75342 87348 93528 100456 108683 113013 131022 150684 174696 196533 217366 226026 262044 301368 326049 339039 393066 434732 452052 524088 652098 678078 786132 869464 904104 978147 1304196 1356156 1572264 1956294 2608392 2712312 2934441 3151807 3912588 5868882 6303614 7825176 9455421 11737764 12607228 18910842 23475528 25214456 28366263 37821684 56732526 75643368 85098789 113465052 170197578 226930104 340395156 680790312