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104018640 = 24351131241
BaseRepresentation
bin1100011001100…
…11001011010000
321020201200202020
412030303023100
5203112044030
614153251440
72402100225
oct614631320
9236650666
10104018640
1153796820
122aa03b80
131871c9bb
14db5994c
1591ea510
hex63332d0

104018640 has 240 divisors, whose sum is σ = 372351168. Its totient is φ = 23808000.

The previous prime is 104018633. The next prime is 104018641. The reversal of 104018640 is 46810401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104018640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104018641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537020 + ... + 2537060.

Almost surely, 2104018640 is an apocalyptic number.

104018640 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 104018640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186175584).

104018640 is an abundant number, since it is smaller than the sum of its proper divisors (268332528).

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

104018640 is a wasteful number, since it uses less digits than its factorization.

104018640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 104018640 is about 10198.9528874292. The cubic root of 104018640 is about 470.2950313008.

The spelling of 104018640 in words is "one hundred four million, eighteen thousand, six hundred forty".