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104162240 = 265731373
BaseRepresentation
bin1100011010101…
…10001111000000
321020222222201202
412031112033000
5203131142430
614200320332
72403236000
oct615261700
9236888652
10104162240
11538846a6
122aa730a8
1318770180
14db96000
159227d45
hex63563c0

104162240 has 224 divisors, whose sum is σ = 315772800. Its totient is φ = 32514048.

The previous prime is 104162221. The next prime is 104162243. The reversal of 104162240 is 42261401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104162243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426844 + ... + 1426916.

It is an arithmetic number, because the mean of its divisors is an integer number (1409700).

Almost surely, 2104162240 is an apocalyptic number.

104162240 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 104162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157886400).

104162240 is an abundant number, since it is smaller than the sum of its proper divisors (211610560).

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

104162240 is an equidigital number, since it uses as much as digits as its factorization.

104162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 104162240 is about 10205.9903978007. The cubic root of 104162240 is about 470.5113493016.

The spelling of 104162240 in words is "one hundred four million, one hundred sixty-two thousand, two hundred forty".