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679980192 = 25359271443
BaseRepresentation
bin101000100001111…
…010110010100000
31202101111120110120
4220201322302200
52343033331232
6151250200240
722564510353
oct5041726240
91671446416
10679980192
11319916201
1216b883080
13aab4cc58
146644629a
153ea6a92c
hex2887aca0

679980192 has 96 divisors (see below), whose sum is σ = 1826012160. Its totient is φ = 221495040.

The previous prime is 679980187. The next prime is 679980193. The reversal of 679980192 is 291089976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (679980193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534723 + ... + 1535165.

It is an arithmetic number, because the mean of its divisors is an integer number (19020960).

Almost surely, 2679980192 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 679980192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913006080).

679980192 is an abundant number, since it is smaller than the sum of its proper divisors (1146031968).

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

679980192 is a wasteful number, since it uses less digits than its factorization.

679980192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 679980192 is about 26076.4298169822. The cubic root of 679980192 is about 879.3573958779.

The spelling of 679980192 in words is "six hundred seventy-nine million, nine hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 271 354 443 472 542 708 813 886 944 1084 1329 1416 1626 1772 1888 2168 2658 2832 3252 3544 4336 5316 5664 6504 7088 8672 10632 13008 14176 15989 21264 26016 26137 31978 42528 47967 52274 63956 78411 95934 104548 120053 127912 156822 191868 209096 240106 255824 313644 360159 383736 418192 480212 511648 627288 720318 767472 836384 960424 1254576 1440636 1534944 1920848 2509152 2881272 3841696 5762544 7083127 11525088 14166254 21249381 28332508 42498762 56665016 84997524 113330032 169995048 226660064 339990096 679980192