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104862912 = 26371141173
BaseRepresentation
bin1100100000000…
…01010011000000
321022022120212120
412100001103000
5203321103122
614223324240
72412214530
oct620012300
9238276776
10104862912
1154213070
122b150680
131895707b
14dcd94c0
15931575c
hex64014c0

104862912 has 224 divisors, whose sum is σ = 356396544. Its totient is φ = 26419200.

The previous prime is 104862907. The next prime is 104862931. The reversal of 104862912 is 219268401.

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 (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606058 + ... + 606230.

It is an arithmetic number, because the mean of its divisors is an integer number (1591056).

Almost surely, 2104862912 is an apocalyptic number.

104862912 is a gapful number since it is divisible by the number (12) 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 104862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178198272).

104862912 is an abundant number, since it is smaller than the sum of its proper divisors (251533632).

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

104862912 is a wasteful number, since it uses less digits than its factorization.

104862912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 104862912 is about 10240.2593717152. The cubic root of 104862912 is about 471.5639945721.

The spelling of 104862912 in words is "one hundred four million, eight hundred sixty-two thousand, nine hundred twelve".