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2137614 = 2317191103
BaseRepresentation
bin1000001001111000001110
311000121020220
420021320032
51021400424
6113452210
724112053
oct10117016
94017226
102137614
111230026
12871066
1359ac7b
143d902a
152c3579
hex209e0e

2137614 has 32 divisors (see below), whose sum is σ = 4769280. Its totient is φ = 634752.

The previous prime is 2137613. The next prime is 2137627. The reversal of 2137614 is 4167312.

It is a super-2 number, since 2×21376142 = 9138787225992, which contains 22 as substring.

It is a d-powerful number, because it can be written as 219 + 1 + 313 + 74 + 63 + 1 + 47 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 2489.

It is an arithmetic number, because the mean of its divisors is an integer number (149040).

22137614 is an apocalyptic number.

2137614 is an abundant number, since it is smaller than the sum of its proper divisors (2631666).

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

2137614 is a wasteful number, since it uses less digits than its factorization.

2137614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144.

The product of its digits is 1008, while the sum is 24.

The square root of 2137614 is about 1462.0581383789. The cubic root of 2137614 is about 128.8179633010.

The spelling of 2137614 in words is "two million, one hundred thirty-seven thousand, six hundred fourteen".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 646 969 1103 1938 2206 3309 6618 18751 20957 37502 41914 56253 62871 112506 125742 356269 712538 1068807 2137614