Search a number
-
+
10114032 = 243210709
BaseRepresentation
bin100110100101…
…001111110000
3201000211211210
4212211033300
510042122112
61000440120
7151652655
oct46451760
921024753
1010114032
115788905
123479040
132131746
1414b3c2c
15d4bb3c
hex9a53f0

10114032 has 20 divisors (see below), whose sum is σ = 26128040. Its totient is φ = 3371328.

The previous prime is 10114019. The next prime is 10114051. The reversal of 10114032 is 23041101.

It is a happy number.

10114032 is digitally balanced in base 2 and base 4, because in such bases 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10113999 and 10114017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105307 + ... + 105402.

It is an arithmetic number, because the mean of its divisors is an integer number (1306402).

Almost surely, 210114032 is an apocalyptic number.

10114032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10114032 is an abundant number, since it is smaller than the sum of its proper divisors (16014008).

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

10114032 is a wasteful number, since it uses less digits than its factorization.

10114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210720 (or 210714 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10114032 is about 3180.2565934214. The cubic root of 10114032 is about 216.2592908123.

Adding to 10114032 its reverse (23041101), we get a palindrome (33155133).

The spelling of 10114032 in words is "ten million, one hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 210709 421418 632127 842836 1264254 1685672 2528508 3371344 5057016 10114032