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540153 = 3260017
BaseRepresentation
bin10000011110111111001
31000102221200
42003313321
5114241103
615324413
74406535
oct2036771
91012850
10540153
11339909
12220709
1315bb23
14100bc5
15aa0a3
hex83df9

540153 has 6 divisors (see below), whose sum is σ = 780234. Its totient is φ = 360096.

The previous prime is 540149. The next prime is 540157. The reversal of 540153 is 351045.

It is an interprime number because it is at equal distance from previous prime (540149) and next prime (540157).

It can be written as a sum of positive squares in only one way, i.e., 522729 + 17424 = 723^2 + 132^2 .

It is not a de Polignac number, because 540153 - 22 = 540149 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (540157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30000 + ... + 30017.

It is an arithmetic number, because the mean of its divisors is an integer number (130039).

2540153 is an apocalyptic number.

It is an amenable number.

540153 is a deficient number, since it is larger than the sum of its proper divisors (240081).

540153 is a wasteful number, since it uses less digits than its factorization.

540153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60023 (or 60020 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 540153 is about 734.9510187761. The cubic root of 540153 is about 81.4402186215.

Adding to 540153 its reverse (351045), we get a palindrome (891198).

The spelling of 540153 in words is "five hundred forty thousand, one hundred fifty-three".

Divisors: 1 3 9 60017 180051 540153