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18575040 = 2635111759
BaseRepresentation
bin100011011011…
…0111011000000
31021221201011110
41012312323000
514223400130
61502043320
7313612431
oct106667300
937851143
1018575040
11a537780
126279540
133b04963
142677488
15196dab0
hex11b6ec0

18575040 has 112 divisors (see below), whose sum is σ = 64373760. Its totient is φ = 4500480.

The previous prime is 18575003. The next prime is 18575041. The reversal of 18575040 is 4057581.

It is a super-2 number, since 2×185750402 = 690064222003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 18574989 and 18575007.

It is not an unprimeable number, because it can be changed into a prime (18575041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9681 + ... + 11439.

Almost surely, 218575040 is an apocalyptic number.

18575040 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 18575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186880).

18575040 is an abundant number, since it is smaller than the sum of its proper divisors (45798720).

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

18575040 is a wasteful number, since it uses less digits than its factorization.

18575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 18575040 is about 4309.8770284081. The cubic root of 18575040 is about 264.8357353889.

The spelling of 18575040 in words is "eighteen million, five hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1759 1760 2112 2640 3518 3520 5277 5280 7036 8795 10554 10560 14072 17590 19349 21108 26385 28144 35180 38698 42216 52770 56288 58047 70360 77396 84432 96745 105540 112576 116094 140720 154792 168864 193490 211080 232188 281440 290235 309584 337728 386980 422160 464376 562880 580470 619168 773960 844320 928752 1160940 1238336 1547920 1688640 1857504 2321880 3095840 3715008 4643760 6191680 9287520 18575040