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2137158 = 233192083
BaseRepresentation
bin1000001001110001000110
311000120122000
420021301012
51021342113
6113450130
724110532
oct10116106
94016560
102137158
11122a751
12870946
1359a9ba
143d8bc2
152c3373
hex209c46

2137158 has 32 divisors (see below), whose sum is σ = 5001600. Its totient is φ = 674568.

The previous prime is 2137153. The next prime is 2137159. The reversal of 2137158 is 8517312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137151) 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, 16 + ... + 2067.

It is an arithmetic number, because the mean of its divisors is an integer number (156300).

22137158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500800).

2137158 is an abundant number, since it is smaller than the sum of its proper divisors (2864442).

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

2137158 is a wasteful number, since it uses less digits than its factorization.

2137158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2107 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 2137158 is about 1461.9021855104. The cubic root of 2137158 is about 128.8088027496.

The spelling of 2137158 in words is "two million, one hundred thirty-seven thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 2083 4166 6249 12498 18747 37494 39577 56241 79154 112482 118731 237462 356193 712386 1068579 2137158