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2158137 = 33671193
BaseRepresentation
bin1000001110111000111001
311001122102000
420032320321
51023030022
6114131213
724225642
oct10167071
94048360
102158137
111244493
12880b09
135a7407
144026c9
152c96ac
hex20ee39

2158137 has 16 divisors (see below), whose sum is σ = 3247680. Its totient is φ = 1416096.

The previous prime is 2158129. The next prime is 2158139. The reversal of 2158137 is 7318512.

2158137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2158137 - 23 = 2158129 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2158137.

It is not an unprimeable number, because it can be changed into a prime (2158139) 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 15 ways as a sum of consecutive naturals, for example, 1213 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (202980).

22158137 is an apocalyptic number.

2158137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2158137 is a deficient number, since it is larger than the sum of its proper divisors (1089543).

2158137 is a wasteful number, since it uses less digits than its factorization.

2158137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1263 counting only the distinct ones).

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

The square root of 2158137 is about 1469.0599034757. The cubic root of 2158137 is about 129.2289067137.

The spelling of 2158137 in words is "two million, one hundred fifty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 67 201 603 1193 1809 3579 10737 32211 79931 239793 719379 2158137