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18311040 = 2732511172
BaseRepresentation
bin100010111011…
…0011110000000
31021110022000200
41011312132000
514141423130
61452245200
7311432646
oct105663600
937408020
1018311040
11a3773a0
126170800
133a41747
142609196
15191a760
hex1176780

18311040 has 288 divisors, whose sum is σ = 73274760. Its totient is φ = 4177920.

The previous prime is 18311039. The next prime is 18311047. The reversal of 18311040 is 4011381.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18311047) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1077112 + ... + 1077128.

Almost surely, 218311040 is an apocalyptic number.

18311040 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 18311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36637380).

18311040 is an abundant number, since it is smaller than the sum of its proper divisors (54963720).

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

18311040 is a wasteful number, since it uses less digits than its factorization.

18311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 18311040 is about 4279.1401005342. The cubic root of 18311040 is about 263.5750739953.

The spelling of 18311040 in words is "eighteen million, three hundred eleven thousand, forty".