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103889568 = 2531956957
BaseRepresentation
bin1100011000100…
…11101010100000
321020111010200210
412030103222200
5203043431233
614150414120
72401022016
oct614235240
9236433623
10103889568
1153708852
122a961340
13186a6023
14db248b6
1591c2163
hex6313aa0

103889568 has 48 divisors (see below), whose sum is σ = 287068320. Its totient is φ = 32806656.

The previous prime is 103889563. The next prime is 103889579. The reversal of 103889568 is 865988301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (103889561) 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 7 ways as a sum of consecutive naturals, for example, 26655 + ... + 30302.

It is an arithmetic number, because the mean of its divisors is an integer number (5980590).

Almost surely, 2103889568 is an apocalyptic number.

It is an amenable number.

103889568 is an abundant number, since it is smaller than the sum of its proper divisors (183178752).

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

103889568 is a wasteful number, since it uses less digits than its factorization.

103889568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56989 (or 56981 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 103889568 is about 10192.6232148549. The cubic root of 103889568 is about 470.1004282148.

The spelling of 103889568 in words is "one hundred three million, eight hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 56957 113914 170871 227828 341742 455656 683484 911312 1082183 1366968 1822624 2164366 2733936 3246549 4328732 5467872 6493098 8657464 12986196 17314928 25972392 34629856 51944784 103889568