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23542164 = 223472661
BaseRepresentation
bin101100111001…
…1100110010100
31122022001210000
41121303212110
522011322124
62200331300
7404051022
oct131634624
948261700
1023542164
111231a638
127a73b30
134b53799
1431ab712
1521006c9
hex1673994

23542164 has 30 divisors (see below), whose sum is σ = 61544714. Its totient is φ = 7847280.

The previous prime is 23542163. The next prime is 23542193. The reversal of 23542164 is 46124532.

23542164 is a `hidden beast` number, since 235 + 421 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 9253764 = 3780^2 + 3042^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23542163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36007 + ... + 36654.

Almost surely, 223542164 is an apocalyptic number.

It is an amenable number.

23542164 is an abundant number, since it is smaller than the sum of its proper divisors (38002550).

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

23542164 is a wasteful number, since it uses less digits than its factorization.

23542164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72677 (or 72666 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 23542164 is about 4852.0267930010. The cubic root of 23542164 is about 286.6039205258.

Adding to 23542164 its reverse (46124532), we get a palindrome (69666696).

The spelling of 23542164 in words is "twenty-three million, five hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 72661 145322 217983 290644 435966 653949 871932 1307898 1961847 2615796 3923694 5885541 7847388 11771082 23542164