Search a number
-
+
2113032 = 233175179
BaseRepresentation
bin1000000011111000001000
310222100112110
420003320020
51020104112
6113142320
723650305
oct10037010
93870473
102113032
111213609
1285a9a0
1358ca1c
143d00ac
152bb13c
hex203e08

2113032 has 32 divisors (see below), whose sum is σ = 5594400. Its totient is φ = 662784.

The previous prime is 2113003. The next prime is 2113037. The reversal of 2113032 is 2303112.

It is a happy number.

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 = 2112999 and 2113017.

It is not an unprimeable number, because it can be changed into a prime (2113037) 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, 2182 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (174825).

22113032 is an apocalyptic number.

It is an amenable number.

2113032 is an abundant number, since it is smaller than the sum of its proper divisors (3481368).

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

2113032 is a wasteful number, since it uses less digits than its factorization.

2113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2113032 is about 1453.6271874177. The cubic root of 2113032 is about 128.3222673691.

Adding to 2113032 its reverse (2303112), we get a palindrome (4416144).

The spelling of 2113032 in words is "two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 5179 10358 15537 20716 31074 41432 62148 88043 124296 176086 264129 352172 528258 704344 1056516 2113032