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103960 = 23523113
BaseRepresentation
bin11001011000011000
312021121101
4121120120
511311320
62121144
7612043
oct313030
9167541
10103960
117111a
12501b4
133841c
1429c5a
1520c0a
hex19618

103960 has 32 divisors (see below), whose sum is σ = 246240. Its totient is φ = 39424.

The previous prime is 103951. The next prime is 103963. The reversal of 103960 is 69301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 976.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2103960 is an apocalyptic number.

103960 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 103960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

103960 is an abundant number, since it is smaller than the sum of its proper divisors (142280).

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

103960 is a wasteful number, since it uses less digits than its factorization.

103960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 103960 is about 322.4282866003. The cubic root of 103960 is about 47.0206639180.

The spelling of 103960 in words is "one hundred three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 113 115 184 226 230 452 460 565 904 920 1130 2260 2599 4520 5198 10396 12995 20792 25990 51980 103960