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9982690920 = 23325231205639
BaseRepresentation
bin10010100110000001…
…11100011001101000
3221202201012020112100
421103000330121220
5130421032102140
64330323413400
7502244321106
oct112300743150
927681166470
109982690920
114262a72494
121b27224260
13c31239b07
146a9b38c76
153d65de530
hex25303c668

9982690920 has 96 divisors (see below), whose sum is σ = 33854371200. Its totient is φ = 2546307456.

The previous prime is 9982690919. The next prime is 9982690937. The reversal of 9982690920 is 290962899.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594540 + ... + 611099.

It is an arithmetic number, because the mean of its divisors is an integer number (352649700).

Almost surely, 29982690920 is an apocalyptic number.

9982690920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9982690920 is an abundant number, since it is smaller than the sum of its proper divisors (23871680280).

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

9982690920 is a wasteful number, since it uses less digits than its factorization.

9982690920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205679 (or 1205672 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 9982690920 is about 99913.4171170219. The cubic root of 9982690920 is about 2153.1909293971.

The spelling of 9982690920 in words is "nine billion, nine hundred eighty-two million, six hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 1205639 2411278 3616917 4822556 6028195 7233834 9645112 10850751 12056390 14467668 18084585 21701502 24112780 27729697 28935336 36169170 43403004 48225560 54253755 55459394 72338340 83189091 86806008 108507510 110918788 138648485 144676680 166378182 217015020 221837576 249567273 277296970 332756364 415945455 434030040 499134546 554593940 665512728 831890910 998269092 1109187880 1247836365 1663781820 1996538184 2495672730 3327563640 4991345460 9982690920