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520213512 = 233713313761
BaseRepresentation
bin11111000000011…
…101010000001000
31100020212120210010
4133000131100020
52031133313022
6123341551520
715614512320
oct3700352010
91306776703
10520213512
11247713125
121262755a0
1383a11760
144d138280
1530a0c50c
hex1f01d408

520213512 has 128 divisors (see below), whose sum is σ = 1607880960. Its totient is φ = 136581120.

The previous prime is 520213487. The next prime is 520213543. The reversal of 520213512 is 215312025.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 683212 + ... + 683972.

It is an arithmetic number, because the mean of its divisors is an integer number (12561570).

Almost surely, 2520213512 is an apocalyptic number.

520213512 is a gapful number since it is divisible by the number (52) 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 520213512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803940480).

520213512 is an abundant number, since it is smaller than the sum of its proper divisors (1087667448).

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

520213512 is a wasteful number, since it uses less digits than its factorization.

520213512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 520213512 is about 22808.1895818147. The cubic root of 520213512 is about 804.2551973240.

Adding to 520213512 its reverse (215312025), we get a palindrome (735525537).

The spelling of 520213512 in words is "five hundred twenty million, two hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 313 364 546 626 728 761 939 1092 1252 1522 1878 2184 2191 2283 2504 3044 3756 4069 4382 4566 5327 6088 6573 7512 8138 8764 9132 9893 10654 12207 13146 15981 16276 17528 18264 19786 21308 24414 26292 28483 29679 31962 32552 39572 42616 48828 52584 56966 59358 63924 69251 79144 85449 97656 113932 118716 127848 138502 170898 207753 227864 237432 238193 277004 341796 415506 476386 554008 683592 714579 831012 952772 1429158 1662024 1667351 1905544 2858316 3096509 3334702 5002053 5716632 6193018 6669404 9289527 10004106 12386036 13338808 18579054 20008212 21675563 24772072 37158108 40016424 43351126 65026689 74316216 86702252 130053378 173404504 260106756 520213512