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679940460 = 223351966271
BaseRepresentation
bin101000100001110…
…001000101101100
31202101102112222000
4220201301011230
52343031043320
6151245252300
722564253463
oct5041610554
91671375860
10679940460
11319899371
1216b864090
13aab37b44
14664359da
153ea5dc90
hex2887116c

679940460 has 96 divisors (see below), whose sum is σ = 2226739200. Its totient is φ = 171771840.

The previous prime is 679940447. The next prime is 679940461. The reversal of 679940460 is 64049976.

679940460 is a `hidden beast` number, since 67 + 99 + 40 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (679940461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22876 + ... + 43395.

It is an arithmetic number, because the mean of its divisors is an integer number (23195200).

Almost surely, 2679940460 is an apocalyptic number.

679940460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

679940460 is an abundant number, since it is smaller than the sum of its proper divisors (1546798740).

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

679940460 is a wasteful number, since it uses less digits than its factorization.

679940460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66308 (or 66300 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 679940460 is about 26075.6679684337. The cubic root of 679940460 is about 879.3402682670.

The spelling of 679940460 in words is "six hundred seventy-nine million, nine hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 66271 132542 198813 265084 331355 397626 596439 662710 795252 994065 1192878 1259149 1325420 1789317 1988130 2385756 2518298 2982195 3578634 3777447 3976260 5036596 5964390 6295745 7157268 7554894 8946585 11332341 11928780 12591490 15109788 17893170 18887235 22664682 25182980 33997023 35786340 37774470 45329364 56661705 67994046 75548940 113323410 135988092 169985115 226646820 339970230 679940460