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104915920 = 2451311449
BaseRepresentation
bin1100100000011…
…10001111010000
321022102021120211
412100032033100
5203324302140
614224413504
72412525214
oct620161720
9238367524
10104915920
115424997a
122b177294
1318975235
14dd10944
1593262ea
hex640e3d0

104915920 has 20 divisors (see below), whose sum is σ = 243929700. Its totient is φ = 41966336.

The previous prime is 104915911. The next prime is 104915927. The reversal of 104915920 is 29519401.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 78783376 = 5112^2 + 8876^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1049159202 = 22014700538892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104915927) 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 3 ways as a sum of consecutive naturals, for example, 655645 + ... + 655804.

It is an arithmetic number, because the mean of its divisors is an integer number (12196485).

Almost surely, 2104915920 is an apocalyptic number.

104915920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104915920 is an abundant number, since it is smaller than the sum of its proper divisors (139013780).

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

104915920 is a wasteful number, since it uses less digits than its factorization.

104915920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311462 (or 1311456 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 104915920 is about 10242.8472604057. The cubic root of 104915920 is about 471.6434394175.

The spelling of 104915920 in words is "one hundred four million, nine hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1311449 2622898 5245796 6557245 10491592 13114490 20983184 26228980 52457960 104915920