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2137688 = 23759647
BaseRepresentation
bin1000001001111001011000
311000121100122
420021321120
51021401223
6113452412
724112220
oct10117130
94017318
102137688
111230093
12871108
1359b007
143d9080
152c35c8
hex209e58

2137688 has 32 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 899232.

The previous prime is 2137687. The next prime is 2137697. The reversal of 2137688 is 8867312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981 + ... + 3627.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

22137688 is an apocalyptic number.

2137688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

2137688 is an abundant number, since it is smaller than the sum of its proper divisors (2527912).

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

2137688 is a wasteful number, since it uses less digits than its factorization.

2137688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 2137688 is about 1462.0834449511. The cubic root of 2137688 is about 128.8194497588.

The spelling of 2137688 in words is "two million, one hundred thirty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 647 826 1294 1652 2588 3304 4529 5176 9058 18116 36232 38173 76346 152692 267211 305384 534422 1068844 2137688