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18132520 = 2357312089
BaseRepresentation
bin100010100101…
…0111000101000
31021010020010211
41011022320220
514120220040
61444350504
7310060330
oct105127050
937106124
1018132520
11a26525a
1260a5434
1339ab403
1425a00c0
1518d28ea
hex114ae28

18132520 has 64 divisors (see below), whose sum is σ = 48153600. Its totient is φ = 6013440.

The previous prime is 18132509. The next prime is 18132539. The reversal of 18132520 is 2523181.

It is a junction number, because it is equal to n+sod(n) for n = 18132491 and 18132500.

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, 7636 + ... + 9724.

It is an arithmetic number, because the mean of its divisors is an integer number (752400).

Almost surely, 218132520 is an apocalyptic number.

18132520 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 18132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24076800).

18132520 is an abundant number, since it is smaller than the sum of its proper divisors (30021080).

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

18132520 is a wasteful number, since it uses less digits than its factorization.

18132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 18132520 is about 4258.2296791037. The cubic root of 18132520 is about 262.7157168599.

The spelling of 18132520 in words is "eighteen million, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2089 2170 4178 4340 8356 8680 10445 14623 16712 20890 29246 41780 58492 64759 73115 83560 116984 129518 146230 259036 292460 323795 453313 518072 584920 647590 906626 1295180 1813252 2266565 2590360 3626504 4533130 9066260 18132520