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104676264 = 233271179239
BaseRepresentation
bin1100011110100…
…11101110101000
321021222002211200
412033103232220
5203244120024
614215324200
72410506420
oct617235650
9237862750
10104676264
11540a5910
122b080660
13188c0124
14dc8b480
1592ca2c9
hex63d3ba8

104676264 has 192 divisors, whose sum is σ = 359424000. Its totient is φ = 26732160.

The previous prime is 104676251. The next prime is 104676269. The reversal of 104676264 is 462676401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104676269) 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, 437857 + ... + 438095.

It is an arithmetic number, because the mean of its divisors is an integer number (1872000).

Almost surely, 2104676264 is an apocalyptic number.

104676264 is a gapful number since it is divisible by the number (14) 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 104676264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

104676264 is an abundant number, since it is smaller than the sum of its proper divisors (254747736).

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

104676264 is a wasteful number, since it uses less digits than its factorization.

104676264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 104676264 is about 10231.1418717561. The cubic root of 104676264 is about 471.2840457406.

The spelling of 104676264 in words is "one hundred four million, six hundred seventy-six thousand, two hundred sixty-four".