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2100132 = 223258337
BaseRepresentation
bin1000000000101110100100
310221200211200
420000232210
51014201012
6113002500
723564556
oct10005644
93850750
102100132
111204951
12853430
13586ba8
143c94d6
152b73dc
hex200ba4

2100132 has 18 divisors (see below), whose sum is σ = 5308758. Its totient is φ = 700032.

The previous prime is 2100121. The next prime is 2100167. The reversal of 2100132 is 2310012.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2090916 + 9216 = 1446^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 29133 + ... + 29204.

It is an arithmetic number, because the mean of its divisors is an integer number (294931).

22100132 is an apocalyptic number.

It is an amenable number.

2100132 is an abundant number, since it is smaller than the sum of its proper divisors (3208626).

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

2100132 is a wasteful number, since it uses less digits than its factorization.

2100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58347 (or 58342 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2100132 is about 1449.1832182302. The cubic root of 2100132 is about 128.0605995608.

Adding to 2100132 its reverse (2310012), we get a palindrome (4410144).

The spelling of 2100132 in words is "two million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 58337 116674 175011 233348 350022 525033 700044 1050066 2100132