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679820520 = 233517931649
BaseRepresentation
bin101000100001010…
…011110011101000
31202101012110102210
4220201103303220
52343013224040
6151242525120
722563244011
oct5041236350
91671173383
10679820520
11319817245
1216b8067a0
13aaac5382
1466404008
153ea38480
hex28853ce8

679820520 has 64 divisors (see below), whose sum is σ = 2050920000. Its totient is φ = 180267008.

The previous prime is 679820503. The next prime is 679820563. The reversal of 679820520 is 25028976.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5656 + ... + 37304.

It is an arithmetic number, because the mean of its divisors is an integer number (32045625).

Almost surely, 2679820520 is an apocalyptic number.

679820520 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 679820520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025460000).

679820520 is an abundant number, since it is smaller than the sum of its proper divisors (1371099480).

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

679820520 is a wasteful number, since it uses less digits than its factorization.

679820520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31842 (or 31838 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 679820520 is about 26073.3680217957. The cubic root of 679820520 is about 879.2885606641.

The spelling of 679820520 in words is "six hundred seventy-nine million, eight hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 179 358 537 716 895 1074 1432 1790 2148 2685 3580 4296 5370 7160 10740 21480 31649 63298 94947 126596 158245 189894 253192 316490 379788 474735 632980 759576 949470 1265960 1898940 3797880 5665171 11330342 16995513 22660684 28325855 33991026 45321368 56651710 67982052 84977565 113303420 135964104 169955130 226606840 339910260 679820520