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104090976 = 253211229103
BaseRepresentation
bin1100011010001…
…00110101100000
321020212100222100
412031010311200
5203121402401
614155010400
72402521143
oct615046540
9236770870
10104090976
1153836100
122aa39a00
13187468c2
14db7805a
159211b86
hex6344d60

104090976 has 216 divisors, whose sum is σ = 339852240. Its totient is φ = 30159360.

The previous prime is 104090957. The next prime is 104090977. The reversal of 104090976 is 679090401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 104090976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104090977) 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, 1010541 + ... + 1010643.

It is an arithmetic number, because the mean of its divisors is an integer number (1573390).

Almost surely, 2104090976 is an apocalyptic number.

104090976 is a gapful number since it is divisible by the number (16) 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 104090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169926120).

104090976 is an abundant number, since it is smaller than the sum of its proper divisors (235761264).

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

104090976 is a wasteful number, since it uses less digits than its factorization.

104090976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 104090976 is about 10202.4985175201. The cubic root of 104090976 is about 470.4040225951.

The spelling of 104090976 in words is "one hundred four million, ninety thousand, nine hundred seventy-six".