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520213428 = 22357101757
BaseRepresentation
bin11111000000011…
…101001110110100
31100020212120200000
4133000131032310
52031133312203
6123341551300
715614512140
oct3700351664
91306776600
10520213428
11247713059
12126275530
1383a116c7
144d138220
1530a0c4a3
hex1f01d3b4

520213428 has 144 divisors (see below), whose sum is σ = 1576009344. Its totient is φ = 146966400.

The previous prime is 520213427. The next prime is 520213439. The reversal of 520213428 is 824312025.

520213428 is a `hidden beast` number, since 5 + 20 + 213 + 428 = 666.

It is a super-2 number, since 2×5202134282 = 541244021343022368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520213423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686826 + ... + 687582.

Almost surely, 2520213428 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 520213428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788004672).

520213428 is an abundant number, since it is smaller than the sum of its proper divisors (1055795916).

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

520213428 is a wasteful number, since it uses less digits than its factorization.

520213428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 520213428 is about 22808.1877403708. The cubic root of 520213428 is about 804.2551540358.

The spelling of 520213428 in words is "five hundred twenty million, two hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 101 108 126 162 189 202 243 252 303 324 378 404 486 567 606 707 756 757 909 972 1134 1212 1414 1514 1701 1818 2121 2268 2271 2727 2828 3028 3402 3636 4242 4542 5299 5454 6363 6804 6813 8181 8484 9084 10598 10908 12726 13626 15897 16362 19089 20439 21196 24543 25452 27252 31794 32724 38178 40878 47691 49086 57267 61317 63588 76356 76457 81756 95382 98172 114534 122634 143073 152914 171801 183951 190764 229068 229371 245268 286146 305828 343602 367902 429219 458742 535199 572292 687204 688113 735804 858438 917484 1070398 1287657 1376226 1605597 1716876 2064339 2140796 2575314 2752452 3211194 4128678 4816791 5150628 6193017 6422388 8257356 9633582 12386034 14450373 18579051 19267164 24772068 28900746 37158102 43351119 57801492 74316204 86702238 130053357 173404476 260106714 520213428