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18536540 = 22511109773
BaseRepresentation
bin100011010110…
…1100001011100
31021212202100112
41012231201130
514221132130
61501145152
7313362251
oct106554134
937782315
1018536540
11a510860
12625b1b8
133ac0289
142667428
151962495
hex11ad85c

18536540 has 48 divisors (see below), whose sum is σ = 42910560. Its totient is φ = 6670080.

The previous prime is 18536527. The next prime is 18536599. The reversal of 18536540 is 4563581.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 18536497 and 18536506.

It is a congruent number.

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, 23594 + ... + 24366.

It is an arithmetic number, because the mean of its divisors is an integer number (893970).

Almost surely, 218536540 is an apocalyptic number.

18536540 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 18536540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21455280).

18536540 is an abundant number, since it is smaller than the sum of its proper divisors (24374020).

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

18536540 is a wasteful number, since it uses less digits than its factorization.

18536540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 18536540 is about 4305.4082268700. The cubic root of 18536540 is about 264.6526361262.

The spelling of 18536540 in words is "eighteen million, five hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 109 110 218 220 436 545 773 1090 1199 1546 2180 2398 3092 3865 4796 5995 7730 8503 11990 15460 17006 23980 34012 42515 84257 85030 168514 170060 337028 421285 842570 926827 1685140 1853654 3707308 4634135 9268270 18536540