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18370540 = 2251771761
BaseRepresentation
bin100011000010…
…0111111101100
31021120022122101
41012010333230
514200324130
61453424444
7312101266
oct106047754
937508571
1018370540
11a408071
12619b124
133a62856
142622b36
15192d1ca
hex1184fec

18370540 has 48 divisors (see below), whose sum is σ = 41477184. Its totient is φ = 6809600.

The previous prime is 18370493. The next prime is 18370553. The reversal of 18370540 is 4507381.

It is a junction number, because it is equal to n+sod(n) for n = 18370499 and 18370508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23760 + ... + 24520.

It is an arithmetic number, because the mean of its divisors is an integer number (864108).

Almost surely, 218370540 is an apocalyptic number.

18370540 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 18370540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20738592).

18370540 is an abundant number, since it is smaller than the sum of its proper divisors (23106644).

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

18370540 is a wasteful number, since it uses less digits than its factorization.

18370540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 18370540 is about 4286.0867933349. The cubic root of 18370540 is about 263.8602527909.

The spelling of 18370540 in words is "eighteen million, three hundred seventy thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 761 1207 1420 1522 2414 3044 3805 4828 6035 7610 12070 12937 15220 24140 25874 51748 54031 64685 108062 129370 216124 258740 270155 540310 918527 1080620 1837054 3674108 4592635 9185270 18370540