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679873920 = 27351132191
BaseRepresentation
bin101000100001100…
…000110110000000
31202101022011200120
4220201200312000
52343021431140
6151244020240
722563555465
oct5041406600
91671264616
10679873920
11319853380
1216b831680
13aab1377b
146641966c
153ea491d0
hex28860d80

679873920 has 128 divisors (see below), whose sum is σ = 2364180480. Its totient is φ = 164812800.

The previous prime is 679873913. The next prime is 679873939. The reversal of 679873920 is 29378976.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5025 + ... + 37215.

It is an arithmetic number, because the mean of its divisors is an integer number (18470160).

Almost surely, 2679873920 is an apocalyptic number.

679873920 is a gapful number since it is divisible by the number (60) 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 679873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182090240).

679873920 is an abundant number, since it is smaller than the sum of its proper divisors (1684306560).

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

679873920 is a wasteful number, since it uses less digits than its factorization.

679873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32224 (or 32212 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 679873920 is about 26074.3920350983. The cubic root of 679873920 is about 879.3115828091.

The spelling of 679873920 in words is "six hundred seventy-nine million, eight hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 32191 64382 96573 128764 160955 193146 257528 321910 354101 386292 482865 515056 643820 708202 772584 965730 1030112 1062303 1287640 1416404 1545168 1770505 1931460 2060224 2124606 2575280 2832808 3090336 3541010 3862920 4120448 4249212 5150560 5311515 5665616 6180672 7082020 7725840 8498424 10301120 10623030 11331232 12361344 14164040 15451680 16996848 20602240 21246060 22662464 28328080 30903360 33993696 42492120 45324928 56656160 61806720 67987392 84984240 113312320 135974784 169968480 226624640 339936960 679873920