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104013140 = 2257111729137
BaseRepresentation
bin1100011001100…
…01110101010100
321020201102012112
412030301311110
5203111410030
614153210152
72402045210
oct614616524
9236642175
10104013140
1153792680
122aa00958
131871a34a
14db57940
1591e8a95
hex6331d54

104013140 has 192 divisors, whose sum is σ = 300464640. Its totient is φ = 29245440.

The previous prime is 104013137. The next prime is 104013149. The reversal of 104013140 is 41310401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104013149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 759152 + ... + 759288.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 2104013140 is an apocalyptic number.

104013140 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 104013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150232320).

104013140 is an abundant number, since it is smaller than the sum of its proper divisors (196451500).

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

104013140 is a wasteful number, since it uses less digits than its factorization.

104013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 104013140 is about 10198.6832483414. The cubic root of 104013140 is about 470.2867421830.

Adding to 104013140 its reverse (41310401), we get a palindrome (145323541).

The spelling of 104013140 in words is "one hundred four million, thirteen thousand, one hundred forty".