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540162 = 23371429
BaseRepresentation
bin10000011111000000010
31000102222000
42003320002
5114241122
615324430
74406550
oct2037002
91012860
10540162
11339917
12220716
1315bb2c
14100bd0
15aa0ac
hex83e02

540162 has 32 divisors (see below), whose sum is σ = 1372800. Its totient is φ = 154224.

The previous prime is 540157. The next prime is 540167. The reversal of 540162 is 261045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540157) and next prime (540167).

It is a Harshad number since it is a multiple of its sum of digits (18).

540162 is a modest number, since divided by 162 gives 54 as remainder.

It is not an unprimeable number, because it can be changed into a prime (540167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2540162 is an apocalyptic number.

540162 is an abundant number, since it is smaller than the sum of its proper divisors (832638).

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

540162 is a wasteful number, since it uses less digits than its factorization.

540162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 540162 is about 734.9571416076. The cubic root of 540162 is about 81.4406709365.

The spelling of 540162 in words is "five hundred forty thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1429 2858 4287 8574 10003 12861 20006 25722 30009 38583 60018 77166 90027 180054 270081 540162