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18329040 = 2432525457
BaseRepresentation
bin100010111101…
…0110111010000
31021111012201100
41011322313100
514143012130
61452504400
7311536302
oct105726720
937435640
1018329040
11a389974
12617b100
133a499b2
142611972
151920c60
hex117add0

18329040 has 60 divisors (see below), whose sum is σ = 61557444. Its totient is φ = 4887552.

The previous prime is 18329011. The next prime is 18329083. The reversal of 18329040 is 4092381.

It can be written as a sum of positive squares in 2 ways, for example, as 2742336 + 15586704 = 1656^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 18328995 and 18329013.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 12009 + ... + 13448.

Almost surely, 218329040 is an apocalyptic number.

18329040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18329040 is an abundant number, since it is smaller than the sum of its proper divisors (43228404).

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

18329040 is a wasteful number, since it uses less digits than its factorization.

18329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25476 (or 25467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 18329040 is about 4281.2428102129. The cubic root of 18329040 is about 263.6614116654.

The spelling of 18329040 in words is "eighteen million, three hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 25457 50914 76371 101828 127285 152742 203656 229113 254570 305484 381855 407312 458226 509140 610968 763710 916452 1018280 1145565 1221936 1527420 1832904 2036560 2291130 3054840 3665808 4582260 6109680 9164520 18329040