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680092848 = 2436199293
BaseRepresentation
bin101000100010010…
…110010010110000
31202101201022000000
4220202112102300
52343100432343
6151252430000
722565456661
oct5042262260
91671638000
10680092848
11319992906
1216b918300
13aab8c306
1466475368
153ea8ded3
hex288964b0

680092848 has 140 divisors (see below), whose sum is σ = 1992320400. Its totient is φ = 224788608.

The previous prime is 680092807. The next prime is 680092901. The reversal of 680092848 is 848290086.

It is a happy number.

It is a super-2 number, since 2×6800928482 = 925052563801502208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2320990 + ... + 2321282.

It is an arithmetic number, because the mean of its divisors is an integer number (14230860).

Almost surely, 2680092848 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 680092848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996160200).

680092848 is an abundant number, since it is smaller than the sum of its proper divisors (1312227552).

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

680092848 is a wasteful number, since it uses less digits than its factorization.

680092848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 680092848 is about 26078.5898391765. The cubic root of 680092848 is about 879.4059558299.

The spelling of 680092848 in words is "six hundred eighty million, ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 243 293 324 398 432 486 586 597 648 729 796 879 972 1172 1194 1296 1458 1592 1758 1791 1944 2344 2388 2637 2916 3184 3516 3582 3888 4688 4776 5274 5373 5832 7032 7164 7911 9552 10548 10746 11664 14064 14328 15822 16119 21096 21492 23733 28656 31644 32238 42192 42984 47466 48357 58307 63288 64476 71199 85968 94932 96714 116614 126576 128952 142398 145071 174921 189864 193428 213597 233228 257904 284796 290142 349842 379728 386856 427194 466456 524763 569592 580284 699684 773712 854388 932912 1049526 1139184 1160568 1399368 1574289 1708776 2099052 2321136 2798736 3148578 3417552 4198104 4722867 6297156 8396208 9445734 12594312 14168601 18891468 25188624 28337202 37782936 42505803 56674404 75565872 85011606 113348808 170023212 226697616 340046424 680092848