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18663040 = 275112241
BaseRepresentation
bin100011100110…
…0011010000000
31022010011212201
41013030122000
514234204130
61504002544
7314430124
oct107143200
938104781
1018663040
11a597900
126300454
133b35a26
14269b584
151989bca
hex11cc680

18663040 has 96 divisors (see below), whose sum is σ = 49244580. Its totient is φ = 6758400.

The previous prime is 18663019. The next prime is 18663103. The reversal of 18663040 is 4036681.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 69696 = 4312^2 + 264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77320 + ... + 77560.

Almost surely, 218663040 is an apocalyptic number.

18663040 is a gapful number since it is divisible by the number (10) 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 18663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24622290).

18663040 is an abundant number, since it is smaller than the sum of its proper divisors (30581540).

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

18663040 is a wasteful number, since it uses less digits than its factorization.

18663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 18663040 is about 4320.0740734390. The cubic root of 18663040 is about 265.2532999921.

The spelling of 18663040 in words is "eighteen million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 241 242 320 352 440 482 484 605 640 704 880 964 968 1205 1210 1408 1760 1928 1936 2410 2420 2651 3520 3856 3872 4820 4840 5302 7040 7712 7744 9640 9680 10604 13255 15424 15488 19280 19360 21208 26510 29161 30848 38560 38720 42416 53020 58322 77120 77440 84832 106040 116644 145805 154240 169664 212080 233288 291610 339328 424160 466576 583220 848320 933152 1166440 1696640 1866304 2332880 3732608 4665760 9331520 18663040