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18540072 = 2332257501
BaseRepresentation
bin100011010111…
…0011000101000
31021212221012100
41012232120220
514221240242
61501213400
7313405455
oct106563050
937787170
1018540072
11a513481
126261260
133ac1a75
14266882c
15196354c
hex11ae628

18540072 has 24 divisors (see below), whose sum is σ = 50212890. Its totient is φ = 6180000.

The previous prime is 18540061. The next prime is 18540083. The reversal of 18540072 is 27004581.

It is an interprime number because it is at equal distance from previous prime (18540061) and next prime (18540083).

It can be written as a sum of positive squares in only one way, i.e., 18096516 + 443556 = 4254^2 + 666^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128679 + ... + 128822.

Almost surely, 218540072 is an apocalyptic number.

18540072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18540072 is an abundant number, since it is smaller than the sum of its proper divisors (31672818).

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

18540072 is a wasteful number, since it uses less digits than its factorization.

18540072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257513 (or 257506 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 18540072 is about 4305.8183891103. The cubic root of 18540072 is about 264.6694442567.

The spelling of 18540072 in words is "eighteen million, five hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257501 515002 772503 1030004 1545006 2060008 2317509 3090012 4635018 6180024 9270036 18540072