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18840096 = 25321119313
BaseRepresentation
bin100011111011…
…1101000100000
31022110011202100
41013313220200
514310340341
61511450400
7316065252
oct107675040
938404670
1018840096
11a6a8930
126386a00
133b984b2
142705cd2
1519c23b6
hex11f7a20

18840096 has 144 divisors (see below), whose sum is σ = 61719840. Its totient is φ = 5391360.

The previous prime is 18840083. The next prime is 18840113. The reversal of 18840096 is 69004881.

18840096 = T135 + T136 + ... + T486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18840096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60036 + ... + 60348.

It is an arithmetic number, because the mean of its divisors is an integer number (428610).

Almost surely, 218840096 is an apocalyptic number.

18840096 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 18840096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30859920).

18840096 is an abundant number, since it is smaller than the sum of its proper divisors (42879744).

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

18840096 is a wasteful number, since it uses less digits than its factorization.

18840096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18840096 is about 4340.5179414443. The cubic root of 18840096 is about 266.0894793848.

The spelling of 18840096 in words is "eighteen million, eight hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 313 342 352 396 418 456 528 608 626 627 684 792 836 912 939 1056 1252 1254 1368 1584 1672 1824 1878 1881 2504 2508 2736 2817 3168 3344 3443 3756 3762 5008 5016 5472 5634 5947 6688 6886 7512 7524 10016 10032 10329 11268 11894 13772 15024 15048 17841 20064 20658 22536 23788 27544 30048 30096 30987 35682 41316 45072 47576 53523 55088 60192 61974 65417 71364 82632 90144 95152 107046 110176 123948 130834 142728 165264 190304 196251 214092 247896 261668 285456 330528 392502 428184 495792 523336 570912 588753 785004 856368 991584 1046672 1177506 1570008 1712736 2093344 2355012 3140016 4710024 6280032 9420048 18840096