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2165136 = 243431049
BaseRepresentation
bin1000010000100110010000
311002000000020
420100212100
51023241021
6114223440
724255231
oct10204620
94060006
102165136
111249776
12884b80
135aa65c
14405088
152cb7c6
hex210990

2165136 has 40 divisors (see below), whose sum is σ = 5728800. Its totient is φ = 704256.

The previous prime is 2165131. The next prime is 2165143. The reversal of 2165136 is 6315612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2165131) 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, 1540 + ... + 2588.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

22165136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2165136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864400).

2165136 is an abundant number, since it is smaller than the sum of its proper divisors (3563664).

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

2165136 is a wasteful number, since it uses less digits than its factorization.

2165136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1097 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2165136 is about 1471.4401109118. The cubic root of 2165136 is about 129.3684556423.

The spelling of 2165136 in words is "two million, one hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1049 2064 2098 3147 4196 6294 8392 12588 16784 25176 45107 50352 90214 135321 180428 270642 360856 541284 721712 1082568 2165136