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10024164 = 2232307907
BaseRepresentation
bin100110001111…
…010011100100
3200212021120100
4212033103210
510031233124
6554504100
7151126653
oct46172344
920767510
1010024164
115727337
123435030
1320cc877
14148d19a
15d301c9
hex98f4e4

10024164 has 36 divisors (see below), whose sum is σ = 25449424. Its totient is φ = 3326832.

The previous prime is 10024163. The next prime is 10024193. The reversal of 10024164 is 46142001.

10024164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (10024163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10599 + ... + 11505.

Almost surely, 210024164 is an apocalyptic number.

It is an amenable number.

10024164 is an abundant number, since it is smaller than the sum of its proper divisors (15425260).

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

10024164 is a wasteful number, since it uses less digits than its factorization.

10024164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10024164 is about 3166.0960187587. The cubic root of 10024164 is about 215.6168619487.

Adding to 10024164 its reverse (46142001), we get a palindrome (56166165).

The spelling of 10024164 in words is "ten million, twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 307 614 907 921 1228 1814 1842 2721 2763 3628 3684 5442 5526 8163 10884 11052 16326 32652 278449 556898 835347 1113796 1670694 2506041 3341388 5012082 10024164