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520299936 = 2535135147
BaseRepresentation
bin11111000000110…
…010010110100000
31100021000222100000
4133000302112200
52031144044221
6123343500000
715615322302
oct3700622640
91307028300
10520299936
11247772052
121262b7600
1383a41bb0
144d15b972
1530a27e26
hex1f0325a0

520299936 has 144 divisors (see below), whose sum is σ = 1652755104. Its totient is φ = 160061184.

The previous prime is 520299919. The next prime is 520299947. The reversal of 520299936 is 639992025.

520299936 is a `hidden beast` number, since 520 + 2 + 9 + 99 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 520299891 and 520299900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98515 + ... + 103661.

It is an arithmetic number, because the mean of its divisors is an integer number (11477466).

Almost surely, 2520299936 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 520299936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826377552).

520299936 is an abundant number, since it is smaller than the sum of its proper divisors (1132455168).

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

520299936 is a wasteful number, since it uses less digits than its factorization.

520299936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 520299936 is about 22810.0840857722. The cubic root of 520299936 is about 804.2997323088.

The spelling of 520299936 in words is "five hundred twenty million, two hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5147 5616 6318 7776 8424 10294 11232 12636 15441 16848 20588 25272 30882 33696 41176 46323 50544 61764 66911 82352 92646 101088 123528 133822 138969 164704 185292 200733 247056 267644 277938 370584 401466 416907 494112 535288 555876 602199 741168 802932 833814 1070576 1111752 1204398 1250721 1482336 1605864 1667628 1806597 2141152 2223504 2408796 2501442 3211728 3335256 3613194 4447008 4817592 5002884 5419791 6423456 6670512 7226388 9635184 10005768 10839582 13341024 14452776 16259373 19270368 20011536 21679164 28905552 32518746 40023072 43358328 57811104 65037492 86716656 130074984 173433312 260149968 520299936