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104212576 = 2513318081
BaseRepresentation
bin1100011011000…
…10100001100000
321021002112210001
412031202201200
5203134300301
614201345344
72403535516
oct615424140
9237075701
10104212576
11539094a6
122aa98254
131878a060
14dbaa4b6
159237c01
hex6362860

104212576 has 48 divisors (see below), whose sum is σ = 228106368. Its totient is φ = 46540800.

The previous prime is 104212571. The next prime is 104212597. The reversal of 104212576 is 675212401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104212571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8856 + ... + 16936.

It is an arithmetic number, because the mean of its divisors is an integer number (4752216).

Almost surely, 2104212576 is an apocalyptic number.

104212576 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 104212576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114053184).

104212576 is an abundant number, since it is smaller than the sum of its proper divisors (123893792).

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

104212576 is a wasteful number, since it uses less digits than its factorization.

104212576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8135 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 104212576 is about 10208.4561026631. The cubic root of 104212576 is about 470.5871280268.

Adding to 104212576 its reverse (675212401), we get a palindrome (779424977).

The spelling of 104212576 in words is "one hundred four million, two hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 6448 8081 12896 16162 32324 64648 105053 129296 210106 250511 258592 420212 501022 840424 1002044 1680848 2004088 3256643 3361696 4008176 6513286 8016352 13026572 26053144 52106288 104212576