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680147484 = 2231983127283
BaseRepresentation
bin101000100010100…
…011101000011100
31202101211001221120
4220202203220130
52343104204414
6151253530540
722566105162
oct5042435034
91671731846
10680147484
11319a1a965
1216b943a50
13aabab143
146648b232
153eaa02a9
hex288a3a1c

680147484 has 96 divisors (see below), whose sum is σ = 1709998080. Its totient is φ = 209780928.

The previous prime is 680147477. The next prime is 680147519. The reversal of 680147484 is 484741086.

It is a happy number.

It is a congruent number.

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, 2403207 + ... + 2403489.

It is an arithmetic number, because the mean of its divisors is an integer number (17812480).

Almost surely, 2680147484 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 680147484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854999040).

680147484 is an abundant number, since it is smaller than the sum of its proper divisors (1029850596).

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

680147484 is a wasteful number, since it uses less digits than its factorization.

680147484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 680147484 is about 26079.6373441043. The cubic root of 680147484 is about 879.4295045446.

It can be divided in two parts, 6801 and 47484, that added together give a triangular number (54285 = T329).

The spelling of 680147484 in words is "six hundred eighty million, one hundred forty-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 127 166 228 249 254 283 332 381 498 508 566 762 849 996 1132 1524 1577 1698 2413 3154 3396 4731 4826 5377 6308 7239 9462 9652 10541 10754 14478 16131 18924 21082 21508 23489 28956 31623 32262 35941 42164 46978 63246 64524 70467 71882 93956 107823 126492 140934 143764 200279 215646 281868 400558 431292 446291 600837 682879 801116 892582 1201674 1338873 1365758 1785164 2048637 2403348 2677746 2731516 2983103 4097274 5355492 5966206 8194548 8949309 11932412 17898618 35797236 56678957 113357914 170036871 226715828 340073742 680147484