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18396864 = 263219412
BaseRepresentation
bin100011000101…
…1011011000000
31021121122202100
41012023123000
514202144424
61454150400
7312241113
oct106133300
937548670
1018396864
11a425922
1261b2400
133a71825
14262c57a
151935dc9
hex118b6c0

18396864 has 126 divisors (see below), whose sum is σ = 56893460. Its totient is φ = 5667840.

The previous prime is 18396863. The next prime is 18396869. The reversal of 18396864 is 46869381.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18396863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 448684 + ... + 448724.

Almost surely, 218396864 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 18396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28446730).

18396864 is an abundant number, since it is smaller than the sum of its proper divisors (38496596).

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

18396864 is a wasteful number, since it uses less digits than its factorization.

18396864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 65 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18396864 is about 4289.1565604440. The cubic root of 18396864 is about 263.9862251766.

The spelling of 18396864 in words is "eighteen million, three hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 64 72 76 82 96 114 123 144 152 164 171 192 228 246 288 304 328 342 369 456 492 576 608 656 684 738 779 912 984 1216 1312 1368 1476 1558 1681 1824 1968 2337 2624 2736 2952 3116 3362 3648 3936 4674 5043 5472 5904 6232 6724 7011 7872 9348 10086 10944 11808 12464 13448 14022 15129 18696 20172 23616 24928 26896 28044 30258 31939 37392 40344 49856 53792 56088 60516 63878 74784 80688 95817 107584 112176 121032 127756 149568 161376 191634 224352 242064 255512 287451 322752 383268 448704 484128 511024 574902 766536 968256 1022048 1149804 1533072 2044096 2299608 3066144 4599216 6132288 9198432 18396864