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10112418 = 233401467
BaseRepresentation
bin100110100100…
…110110100010
3201000202122000
4212210312202
510042044133
61000424430
7151645161
oct46446642
921022560
1010112418
115787678
123478116
132130aa4
1414b33d8
15d4b413
hex9a4da2

10112418 has 32 divisors (see below), whose sum is σ = 22576320. Its totient is φ = 3355200.

The previous prime is 10112413. The next prime is 10112419. The reversal of 10112418 is 81421101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10112418.

It is not an unprimeable number, because it can be changed into a prime (10112413) 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 15 ways as a sum of consecutive naturals, for example, 21421 + ... + 21887.

It is an arithmetic number, because the mean of its divisors is an integer number (705510).

Almost surely, 210112418 is an apocalyptic number.

10112418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10112418 is an abundant number, since it is smaller than the sum of its proper divisors (12463902).

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

10112418 is a wasteful number, since it uses less digits than its factorization.

10112418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10112418 is about 3180.0028301874. The cubic root of 10112418 is about 216.2477866280.

Subtracting from 10112418 its sum of digits (18), we obtain a square (10112400 = 31802).

Adding to 10112418 its reverse (81421101), we get a palindrome (91533519).

The spelling of 10112418 in words is "ten million, one hundred twelve thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 401 467 802 934 1203 1401 2406 2802 3609 4203 7218 8406 10827 12609 21654 25218 187267 374534 561801 1123602 1685403 3370806 5056209 10112418