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20538264 = 23323291283
BaseRepresentation
bin100111001011…
…0001110011000
31102122110012110
41032112032120
520224211024
62012112320
7336400215
oct116261630
942573173
1020538264
111065877a
126a656a0
134341426
142a28b0c
151c0a629
hex1396398

20538264 has 64 divisors (see below), whose sum is σ = 55468800. Its totient is φ = 6317696.

The previous prime is 20538239. The next prime is 20538283. The reversal of 20538264 is 46283502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15367 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (866700).

Almost surely, 220538264 is an apocalyptic number.

20538264 is a gapful number since it is divisible by the number (24) 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 20538264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27734400).

20538264 is an abundant number, since it is smaller than the sum of its proper divisors (34930536).

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

20538264 is a wasteful number, since it uses less digits than its factorization.

20538264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 20538264 is about 4531.9161510337. The cubic root of 20538264 is about 273.8553590404.

It can be divided in two parts, 20538 and 264, that added together give a palindrome (20802).

The spelling of 20538264 in words is "twenty million, five hundred thirty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1283 1334 2001 2566 2668 3849 4002 5132 5336 7698 8004 10264 15396 16008 29509 30792 37207 59018 74414 88527 111621 118036 148828 177054 223242 236072 297656 354108 446484 708216 855761 892968 1711522 2567283 3423044 5134566 6846088 10269132 20538264