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104531504 = 247211172331
BaseRepresentation
bin1100011101100…
…00011000110000
321021200202021012
412032300120300
5203230002004
614212250052
72406334400
oct616603060
9237622235
10104531504
1154007080
122b010928
131886c27c
14dc50800
15929c46e
hex63b0630

104531504 has 240 divisors, whose sum is σ = 293124096. Its totient is φ = 35481600.

The previous prime is 104531501. The next prime is 104531519. The reversal of 104531504 is 405135401.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 104531504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104531501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3371969 + ... + 3371999.

Almost surely, 2104531504 is an apocalyptic number.

104531504 is a gapful number since it is divisible by the number (14) 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 104531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146562048).

104531504 is an abundant number, since it is smaller than the sum of its proper divisors (188592592).

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

104531504 is a wasteful number, since it uses less digits than its factorization.

104531504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 104531504 is about 10224.0649450206. The cubic root of 104531504 is about 471.0666944861.

Adding to 104531504 its reverse (405135401), we get a palindrome (509666905).

The spelling of 104531504 in words is "one hundred four million, five hundred thirty-one thousand, five hundred four".