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18393696 = 253361349
BaseRepresentation
bin100011000101…
…0101001100000
31021121111102000
41012022221200
514202044241
61454124000
7312225636
oct106125140
937544360
1018393696
11a423502
1261b0600
133a70259
14262b356
151934eb6
hex118aa60

18393696 has 96 divisors (see below), whose sum is σ = 54684000. Its totient is φ = 6013440.

The previous prime is 18393689. The next prime is 18393701. The reversal of 18393696 is 69639381.

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

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

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, 52530 + ... + 52878.

It is an arithmetic number, because the mean of its divisors is an integer number (569625).

Almost surely, 218393696 is an apocalyptic number.

18393696 is a gapful number since it is divisible by the number (16) 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 18393696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342000).

18393696 is an abundant number, since it is smaller than the sum of its proper divisors (36290304).

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

18393696 is a wasteful number, since it uses less digits than its factorization.

18393696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 18393696 is about 4288.7872411674. The cubic root of 18393696 is about 263.9710712103.

The spelling of 18393696 in words is "eighteen million, three hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 349 366 432 488 549 698 732 864 976 1047 1098 1396 1464 1647 1952 2094 2196 2792 2928 3141 3294 4188 4392 5584 5856 6282 6588 8376 8784 9423 11168 12564 13176 16752 17568 18846 21289 25128 26352 33504 37692 42578 50256 52704 63867 75384 85156 100512 127734 150768 170312 191601 255468 301536 340624 383202 510936 574803 681248 766404 1021872 1149606 1532808 2043744 2299212 3065616 4598424 6131232 9196848 18393696