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104144064 = 2631274271
BaseRepresentation
bin1100011010100…
…01110011000000
321020222001210120
412031101303000
5203130102224
614200100240
72403132003
oct615216300
9236861716
10104144064
1153871a82
122aa64680
1318764b0b
14db8d53a
159222779
hex6351cc0

104144064 has 56 divisors (see below), whose sum is σ = 277782528. Its totient is φ = 34433280.

The previous prime is 104144009. The next prime is 104144071. The reversal of 104144064 is 460441401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22249 + ... + 26519.

Almost surely, 2104144064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138891264).

104144064 is an abundant number, since it is smaller than the sum of its proper divisors (173638464).

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

104144064 is a wasteful number, since it uses less digits than its factorization.

104144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104144064 is about 10205.0999015198. The cubic root of 104144064 is about 470.4839801009.

Adding to 104144064 its reverse (460441401), we get a palindrome (564585465).

The spelling of 104144064 in words is "one hundred four million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 4271 6096 8128 8542 12192 12813 17084 24384 25626 34168 51252 68336 102504 136672 205008 273344 410016 542417 820032 1084834 1627251 2169668 3254502 4339336 6509004 8678672 13018008 17357344 26036016 34714688 52072032 104144064