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104064480 = 253351317109
BaseRepresentation
bin1100011001111…
…10010111100000
321020211000122000
412030332113200
5203120030410
614154244000
72402350662
oct614762740
9236730560
10104064480
1153818203
122aa26600
1318737820
14db6c532
159208dc0
hex633e5e0

104064480 has 384 divisors, whose sum is σ = 419126400. Its totient is φ = 23887872.

The previous prime is 104064479. The next prime is 104064481. The reversal of 104064480 is 84460401.

104064480 is a `hidden beast` number, since 10 + 4 + 0 + 644 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104064479) and next prime (104064481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104064481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954666 + ... + 954774.

It is an arithmetic number, because the mean of its divisors is an integer number (1091475).

Almost surely, 2104064480 is an apocalyptic number.

104064480 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 104064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

104064480 is an abundant number, since it is smaller than the sum of its proper divisors (315061920).

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

104064480 is a wasteful number, since it uses less digits than its factorization.

104064480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 104064480 is about 10201.1999294201. The cubic root of 104064480 is about 470.3641059659.

The spelling of 104064480 in words is "one hundred four million, sixty-four thousand, four hundred eighty".