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2131902 = 232176967
BaseRepresentation
bin1000001000011110111110
311000022102100
420020132332
51021210102
6113405530
724056313
oct10103676
94008370
102131902
111226803
128698a6
135984a6
143d6d0a
152c1a1c
hex2087be

2131902 has 24 divisors (see below), whose sum is σ = 4891536. Its totient is φ = 668736.

The previous prime is 2131867. The next prime is 2131907. The reversal of 2131902 is 2091312.

It is a happy number.

2131902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21319022 = 9090012275208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3178 + ... + 3789.

It is an arithmetic number, because the mean of its divisors is an integer number (203814).

22131902 is an apocalyptic number.

2131902 is an abundant number, since it is smaller than the sum of its proper divisors (2759634).

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

2131902 is a wasteful number, since it uses less digits than its factorization.

2131902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2131902 is about 1460.1034209946. The cubic root of 2131902 is about 128.7031211491.

The spelling of 2131902 in words is "two million, one hundred thirty-one thousand, nine hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 6967 13934 20901 41802 62703 118439 125406 236878 355317 710634 1065951 2131902