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10113040 = 245718059
BaseRepresentation
bin100110100101…
…000000010000
3201000210111001
4212211000100
510042104130
61000431344
7151650040
oct46450020
921023431
1010113040
115788093
123478554
132131162
1414b3720
15d4b6ca
hex9a5010

10113040 has 40 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 3467136.

The previous prime is 10113023. The next prime is 10113049. The reversal of 10113040 is 4031101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10113049) 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, 8470 + ... + 9589.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 210113040 is an apocalyptic number.

10113040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113040 is an abundant number, since it is smaller than the sum of its proper divisors (16760240).

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

10113040 is a wasteful number, since it uses less digits than its factorization.

10113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079 (or 18073 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10113040 is about 3180.1006273387. The cubic root of 10113040 is about 216.2522202318.

Adding to 10113040 its reverse (4031101), we get a palindrome (14144141).

It can be divided in two parts, 10 and 113040, that added together give a triangular number (113050 = T475).

The spelling of 10113040 in words is "ten million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18059 36118 72236 90295 126413 144472 180590 252826 288944 361180 505652 632065 722360 1011304 1264130 1444720 2022608 2528260 5056520 10113040