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2130696 = 2332101293
BaseRepresentation
bin1000001000001100001000
311000020202200
420020030020
51021140241
6113400200
724052641
oct10101410
94006680
102130696
111225907
12869060
13597a89
143d66c8
152c14b6
hex208308

2130696 has 48 divisors (see below), whose sum is σ = 5847660. Its totient is φ = 700800.

The previous prime is 2130683. The next prime is 2130701. The reversal of 2130696 is 6960312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1512900 + 617796 = 1230^2 + 786^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7126 + ... + 7418.

22130696 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 2130696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923830).

2130696 is an abundant number, since it is smaller than the sum of its proper divisors (3716964).

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

2130696 is a wasteful number, since it uses less digits than its factorization.

2130696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2130696 is about 1459.6903781282. The cubic root of 2130696 is about 128.6788477942.

The spelling of 2130696 in words is "two million, one hundred thirty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 293 303 404 586 606 808 879 909 1172 1212 1758 1818 2344 2424 2637 3516 3636 5274 7032 7272 10548 21096 29593 59186 88779 118372 177558 236744 266337 355116 532674 710232 1065348 2130696