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2132312 = 2371329101
BaseRepresentation
bin1000001000100101011000
311000022222112
420020211120
51021213222
6113411452
724060440
oct10104530
94008875
102132312
111227046
12869b88
13598730
143d7120
152c1be2
hex208958

2132312 has 64 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 806400.

The previous prime is 2132311. The next prime is 2132321.

It is a happy number.

2132312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132311) 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 15 ways as a sum of consecutive naturals, for example, 21062 + ... + 21162.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

22132312 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 2132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2132312 is an abundant number, since it is smaller than the sum of its proper divisors (3008488).

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

2132312 is a wasteful number, since it uses less digits than its factorization.

2132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 2132312 is about 1460.2438152583. The cubic root of 2132312 is about 128.7113711996.

The spelling of 2132312 in words is "two million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 101 104 116 182 202 203 232 364 377 404 406 707 728 754 808 812 1313 1414 1508 1624 2626 2639 2828 2929 3016 5252 5278 5656 5858 9191 10504 10556 11716 18382 20503 21112 23432 36764 38077 41006 73528 76154 82012 152308 164024 266539 304616 533078 1066156 2132312