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2137076 = 222332293
BaseRepresentation
bin1000001001101111110100
311000120111222
420021233310
51021341301
6113445512
724110354
oct10115764
94016458
102137076
11122a687
12870898
1359a956
143d8b64
152c331b
hex209bf4

2137076 has 12 divisors (see below), whose sum is σ = 3757572. Its totient is φ = 1063488.

The previous prime is 2137073. The next prime is 2137117. The reversal of 2137076 is 6707312.

2137076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 524176 + 1612900 = 724^2 + 1270^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137073) 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 3 ways as a sum of consecutive naturals, for example, 215 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (313131).

22137076 is an apocalyptic number.

It is an amenable number.

2137076 is a deficient number, since it is larger than the sum of its proper divisors (1620496).

2137076 is a wasteful number, since it uses less digits than its factorization.

2137076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 2137076 is about 1461.8741395893. The cubic root of 2137076 is about 128.8071553192.

Subtracting from 2137076 its product of nonzero digits (1764), we obtain a palindrome (2135312).

The spelling of 2137076 in words is "two million, one hundred thirty-seven thousand, seventy-six".

Divisors: 1 2 4 233 466 932 2293 4586 9172 534269 1068538 2137076