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680736936 = 2331131223373
BaseRepresentation
bin101000100100110…
…011100010101000
31202102221000112010
4220210303202220
52343232040221
6151314315520
722604111535
oct5044634250
91672830463
10680736936
1131a292810
1216bb88ba0
13ab056529
14665a1d8c
153eb69c76
hex289338a8

680736936 has 128 divisors (see below), whose sum is σ = 1930199040. Its totient is φ = 198201600.

The previous prime is 680736893. The next prime is 680736941. The reversal of 680736936 is 639637086.

It is a happy 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, 1824846 + ... + 1825218.

It is an arithmetic number, because the mean of its divisors is an integer number (15079680).

Almost surely, 2680736936 is an apocalyptic number.

680736936 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680736936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965099520).

680736936 is an abundant number, since it is smaller than the sum of its proper divisors (1249462104).

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

680736936 is a wasteful number, since it uses less digits than its factorization.

680736936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 680736936 is about 26090.9358973572. The cubic root of 680736936 is about 879.6834846554.

The spelling of 680736936 in words is "six hundred eighty million, seven hundred thirty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 223 248 264 341 372 373 446 669 682 744 746 892 1023 1119 1338 1364 1492 1784 2046 2238 2453 2676 2728 2984 4092 4103 4476 4906 5352 6913 7359 8184 8206 8952 9812 11563 12309 13826 14718 16412 19624 20739 23126 24618 27652 29436 32824 34689 41478 46252 49236 55304 58872 69378 76043 82956 83179 92504 98472 127193 138756 152086 165912 166358 228129 249537 254386 277512 304172 332716 381579 456258 499074 508772 608344 665432 763158 912516 914969 998148 1017544 1526316 1825032 1829938 1996296 2578549 2744907 3052632 3659876 5157098 5489814 7319752 7735647 10314196 10979628 15471294 20628392 21959256 28364039 30942588 56728078 61885176 85092117 113456156 170184234 226912312 340368468 680736936