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10120 = 2351123
BaseRepresentation
bin10011110001000
3111212211
42132020
5310440
6114504
741335
oct23610
914784
1010120
117670
125a34
1347b6
14398c
152eea
hex2788

10120 has 32 divisors (see below), whose sum is σ = 25920. Its totient is φ = 3520.

The previous prime is 10111. The next prime is 10133. The reversal of 10120 is 2101.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

210120 is an apocalyptic number.

10120 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 10120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).

10120 is an abundant number, since it is smaller than the sum of its proper divisors (15800).

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

10120 is a wasteful number, since it uses less digits than its factorization.

10120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10120 is about 100.5982107197. The cubic root of 10120 is about 21.6301818582.

Adding to 10120 its reverse (2101), we get a palindrome (12221).

It can be divided in two parts, 101 and 20, that added together give a palindrome (121).

The spelling of 10120 in words is "ten thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120