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104536460 = 22574715887
BaseRepresentation
bin1100011101100…
…01100110001100
321021201000001202
412032301212030
5203230131320
614212325032
72406355010
oct616614614
9237630052
10104536460
115400a876
122b013778
13188715c2
14dc52540
15929db75
hex63b198c

104536460 has 48 divisors (see below), whose sum is σ = 256241664. Its totient is φ = 35076288.

The previous prime is 104536457. The next prime is 104536469. The reversal of 104536460 is 64635401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (104536469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (5338368).

Almost surely, 2104536460 is an apocalyptic number.

104536460 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 104536460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128120832).

104536460 is an abundant number, since it is smaller than the sum of its proper divisors (151705204).

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

104536460 is a wasteful number, since it uses less digits than its factorization.

104536460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15950 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 104536460 is about 10224.3073115004. The cubic root of 104536460 is about 471.0741390349.

The spelling of 104536460 in words is "one hundred four million, five hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 15887 31774 63548 79435 111209 158870 222418 317740 444836 556045 746689 1112090 1493378 2224180 2986756 3733445 5226823 7466890 10453646 14933780 20907292 26134115 52268230 104536460