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2120132 = 227229373
BaseRepresentation
bin1000000101100111000100
310222201021102
420011213010
51020321012
6113235232
724010100
oct10054704
93881242
102120132
111218983
12862b18
13593021
143d2900
152bd2c2
hex2059c4

2120132 has 36 divisors (see below), whose sum is σ = 4476780. Its totient is φ = 874944.

The previous prime is 2120119. The next prime is 2120143. The reversal of 2120132 is 2310212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1132096 + 988036 = 1064^2 + 994^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5498 + ... + 5870.

It is an arithmetic number, because the mean of its divisors is an integer number (124355).

22120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238390).

2120132 is an abundant number, since it is smaller than the sum of its proper divisors (2356648).

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

2120132 is a wasteful number, since it uses less digits than its factorization.

2120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2120132 is about 1456.0673061366. The cubic root of 2120132 is about 128.4658319326.

Adding to 2120132 its reverse (2310212), we get a palindrome (4430344).

The spelling of 2120132 in words is "two million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 373 406 746 812 1421 1492 2611 2842 5222 5684 10444 10817 18277 21634 36554 43268 73108 75719 151438 302876 530033 1060066 2120132