Search a number
-
+
10108640 = 25563179
BaseRepresentation
bin100110100011…
…111011100000
3201000120110002
4212203323200
510041434030
61000355132
7151631153
oct46437340
921016402
1010108640
115784853
123475aa8
13212c159
1414b1c9a
15d4a245
hex9a3ee0

10108640 has 24 divisors (see below), whose sum is σ = 23882040. Its totient is φ = 4043392.

The previous prime is 10108633. The next prime is 10108643. The reversal of 10108640 is 4680101.

10108640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31430 + ... + 31749.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 210108640 is an apocalyptic number.

10108640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10108640 is an abundant number, since it is smaller than the sum of its proper divisors (13773400).

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

10108640 is an equidigital number, since it uses as much as digits as its factorization.

10108640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63194 (or 63186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10108640 is about 3179.4087500666. The cubic root of 10108640 is about 216.2208532114.

Adding to 10108640 its reverse (4680101), we get a palindrome (14788741).

The spelling of 10108640 in words is "ten million, one hundred eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63179 126358 252716 315895 505432 631790 1010864 1263580 2021728 2527160 5054320 10108640