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36142146 = 2331135923
BaseRepresentation
bin1000100111011…
…1110001000010
32112000012201000
42021313301002
533223022041
63330352430
7616126455
oct211676102
975005630
1036142146
1119446147
121012b716
1376458b1
144b2b49c
15328dbb6
hex2277c42

36142146 has 32 divisors (see below), whose sum is σ = 81040320. Its totient is φ = 11938752.

The previous prime is 36142097. The next prime is 36142147. The reversal of 36142146 is 64124163.

36142146 is a `hidden beast` number, since 3 + 614 + 2 + 1 + 46 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (36142147) 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, 3141 + ... + 9063.

It is an arithmetic number, because the mean of its divisors is an integer number (2532510).

Almost surely, 236142146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36142146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520160).

36142146 is an abundant number, since it is smaller than the sum of its proper divisors (44898174).

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

36142146 is a wasteful number, since it uses less digits than its factorization.

36142146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6047 (or 6041 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 36142146 is about 6011.8338300389. The cubic root of 36142146 is about 330.6267428079.

The spelling of 36142146 in words is "thirty-six million, one hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 678 1017 2034 3051 5923 6102 11846 17769 35538 53307 106614 159921 319842 669299 1338598 2007897 4015794 6023691 12047382 18071073 36142146