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679842720 = 2534552457
BaseRepresentation
bin101000100001011…
…001001110100000
31202101020120220000
4220201121032200
52343014431340
6151243220000
722563365514
oct5041311640
91671216800
10679842720
11319831997
1216b817600
13aab024cb
146640c144
153ea3ed30
hex288593a0

679842720 has 120 divisors (see below), whose sum is σ = 2399324004. Its totient is φ = 181287936.

The previous prime is 679842707. The next prime is 679842727. The reversal of 679842720 is 27248976.

It can be written as a sum of positive squares in 2 ways, for example, as 618815376 + 61027344 = 24876^2 + 7812^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6798427202 = 924372247873996800, which contains 22 as substring.

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 (679842727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13269 + ... + 39188.

Almost surely, 2679842720 is an apocalyptic number.

679842720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

679842720 is an abundant number, since it is smaller than the sum of its proper divisors (1719481284).

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

679842720 is a wasteful number, since it uses less digits than its factorization.

679842720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52484 (or 52467 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 679842720 is about 26073.7937400755. The cubic root of 679842720 is about 879.2981318146.

The spelling of 679842720 in words is "six hundred seventy-nine million, eight hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 52457 104914 157371 209828 262285 314742 419656 472113 524570 629484 786855 839312 944226 1049140 1258968 1416339 1573710 1678624 1888452 2098280 2360565 2517936 2832678 3147420 3776904 4196560 4249017 4721130 5035872 5665356 6294840 7081695 7553808 8393120 8498034 9442260 11330712 12589680 14163390 15107616 16996068 18884520 21245085 22661424 25179360 28326780 33992136 37769040 42490170 45322848 56653560 67984272 75538080 84980340 113307120 135968544 169960680 226614240 339921360 679842720