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18645040 = 245376299
BaseRepresentation
bin100011100100…
…0000000110000
31022002021012001
41013020000300
514233120130
61503343344
7314323501
oct107100060
938067161
1018645040
11a585327
1262b1b54
133b2a78b
142694ba8
1519846ca
hex11c8030

18645040 has 40 divisors (see below), whose sum is σ = 44528400. Its totient is φ = 7255296.

The previous prime is 18645017. The next prime is 18645047. The reversal of 18645040 is 4054681.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (18645047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 6109.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 218645040 is an apocalyptic number.

18645040 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 18645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22264200).

18645040 is an abundant number, since it is smaller than the sum of its proper divisors (25883360).

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

18645040 is a wasteful number, since it uses less digits than its factorization.

18645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 18645040 is about 4317.9902732637. The cubic root of 18645040 is about 265.1679960045.

The spelling of 18645040 in words is "eighteen million, six hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 6299 12598 25196 31495 50392 62990 100784 125980 233063 251960 466126 503920 932252 1165315 1864504 2330630 3729008 4661260 9322520 18645040