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20513568 = 2533161113
BaseRepresentation
bin100111001000…
…0001100100000
31102121012022210
41032100030200
520222413233
62011402120
7336235215
oct116201440
942535283
1020513568
1110641169
126a53340
13433310a
142a1db0c
151c03163
hex1390320

20513568 has 96 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6451200.

The previous prime is 20513567. The next prime is 20513569. The reversal of 20513568 is 86531502.

It is an interprime number because it is at equal distance from previous prime (20513567) and next prime (20513569).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20513561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181480 + ... + 181592.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 220513568 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 20513568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

20513568 is an abundant number, since it is smaller than the sum of its proper divisors (36482784).

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

20513568 is a wasteful number, since it uses less digits than its factorization.

20513568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 20513568 is about 4529.1906561769. The cubic root of 20513568 is about 273.7455502707.

The spelling of 20513568 in words is "twenty million, five hundred thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 113 122 124 183 186 226 244 248 339 366 372 452 488 496 678 732 744 904 976 992 1356 1464 1488 1808 1891 1952 2712 2928 2976 3503 3616 3782 5424 5673 5856 6893 7006 7564 10509 10848 11346 13786 14012 15128 20679 21018 22692 27572 28024 30256 41358 42036 45384 55144 56048 60512 82716 84072 90768 110288 112096 165432 168144 181536 213683 220576 330864 336288 427366 641049 661728 854732 1282098 1709464 2564196 3418928 5128392 6837856 10256784 20513568