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14241564 = 22321947443
BaseRepresentation
bin110110010100…
…111100011100
3222210112202100
4312110330130
512121212224
61225125100
7232023411
oct66247434
928715670
1014241564
118047997
124929790
132c4837c
141c6a108
1513b4ac9
hexd94f1c

14241564 has 72 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 4391712.

The previous prime is 14241553. The next prime is 14241589. The reversal of 14241564 is 46514241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31927 + ... + 32369.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

Almost surely, 214241564 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 14241564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

14241564 is an abundant number, since it is smaller than the sum of its proper divisors (24546276).

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

14241564 is a wasteful number, since it uses less digits than its factorization.

14241564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 514 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 14241564 is about 3773.7996767184. The cubic root of 14241564 is about 242.3925282800.

The spelling of 14241564 in words is "fourteen million, two hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 47 57 76 94 114 141 171 188 228 282 342 423 443 564 684 846 886 893 1329 1692 1772 1786 2658 2679 3572 3987 5316 5358 7974 8037 8417 10716 15948 16074 16834 20821 25251 32148 33668 41642 50502 62463 75753 83284 101004 124926 151506 187389 249852 303012 374778 395599 749556 791198 1186797 1582396 2373594 3560391 4747188 7120782 14241564