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520828920 = 233351074507
BaseRepresentation
bin11111000010110…
…011011111111000
31100022000211222000
4133002303133320
52031313011140
6123403101000
715622654443
oct3702633770
91308024860
10520828920
11247aa3527
12126511760
1383b988c1
144d25865a
1530acea30
hex1f0b37f8

520828920 has 128 divisors (see below), whose sum is σ = 1752710400. Its totient is φ = 137559168.

The previous prime is 520828871. The next prime is 520828991. The reversal of 520828920 is 29828025.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113307 + ... + 117813.

It is an arithmetic number, because the mean of its divisors is an integer number (13693050).

Almost surely, 2520828920 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 520828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876355200).

520828920 is an abundant number, since it is smaller than the sum of its proper divisors (1231881480).

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

520828920 is a wasteful number, since it uses less digits than its factorization.

520828920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 520828920 is about 22821.6765378883. The cubic root of 520828920 is about 804.5722146175.

The spelling of 520828920 in words is "five hundred twenty million, eight hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 270 321 360 428 535 540 642 856 963 1070 1080 1284 1605 1926 2140 2568 2889 3210 3852 4280 4507 4815 5778 6420 7704 9014 9630 11556 12840 13521 14445 18028 19260 22535 23112 27042 28890 36056 38520 40563 45070 54084 57780 67605 81126 90140 108168 115560 121689 135210 162252 180280 202815 243378 270420 324504 405630 482249 486756 540840 608445 811260 964498 973512 1216890 1446747 1622520 1928996 2411245 2433780 2893494 3857992 4340241 4822490 4867560 5786988 7233735 8680482 9644980 11573976 13020723 14467470 17360964 19289960 21701205 26041446 28934940 34721928 43402410 52082892 57869880 65103615 86804820 104165784 130207230 173609640 260414460 520828920