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564142260 = 2235112114051
BaseRepresentation
bin100001101000000…
…010000010110100
31110022112101200210
4201220002002310
52123410023020
6131551305420
716660062423
oct4150020264
91408471623
10564142260
1126a497480
12138b1b270
138cb525b6
1454cd12ba
15347d83e0
hex21a020b4

564142260 has 96 divisors (see below), whose sum is σ = 1731792384. Its totient is φ = 136080000.

The previous prime is 564142259. The next prime is 564142273. The reversal of 564142260 is 62241465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137235 + ... + 141285.

It is an arithmetic number, because the mean of its divisors is an integer number (18039504).

Almost surely, 2564142260 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 564142260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865896192).

564142260 is an abundant number, since it is smaller than the sum of its proper divisors (1167650124).

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

564142260 is a wasteful number, since it uses less digits than its factorization.

564142260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4283 counting only the distinct ones).

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

The square root of 564142260 is about 23751.6790985395. The cubic root of 564142260 is about 826.2843832367.

The spelling of 564142260 in words is "five hundred sixty-four million, one hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 211 220 330 422 633 660 844 1055 1266 2110 2321 2532 3165 4051 4220 4642 6330 6963 8102 9284 11605 12153 12660 13926 16204 20255 23210 24306 27852 34815 40510 44561 46420 48612 60765 69630 81020 89122 121530 133683 139260 178244 222805 243060 267366 445610 534732 668415 854761 891220 1336830 1709522 2564283 2673660 3419044 4273805 5128566 8547610 9402371 10257132 12821415 17095220 18804742 25642830 28207113 37609484 47011855 51285660 56414226 94023710 112828452 141035565 188047420 282071130 564142260