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104198976 = 2632743601
BaseRepresentation
bin1100011010111…
…11001101000000
321021001212010100
412031133031000
5203133331401
614201202400
72403451050
oct615371500
9237055110
10104198976
11538aa262
122aa90400
1318783acb
14dba5560
159233b86
hex635f340

104198976 has 168 divisors, whose sum is σ = 349853504. Its totient is φ = 29030400.

The previous prime is 104198951. The next prime is 104199031. The reversal of 104198976 is 679891401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 173076 + ... + 173676.

Almost surely, 2104198976 is an apocalyptic number.

104198976 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 104198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174926752).

104198976 is an abundant number, since it is smaller than the sum of its proper divisors (245654528).

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

104198976 is a wasteful number, since it uses less digits than its factorization.

104198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 104198976 is about 10207.7899664913. The cubic root of 104198976 is about 470.5666562066.

The spelling of 104198976 in words is "one hundred four million, one hundred ninety-eight thousand, nine hundred seventy-six".