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10123164 = 2233671399
BaseRepresentation
bin100110100111…
…011110011100
3201001022101000
4212213132130
510042420124
61000550300
7152021412
oct46473634
921038330
1010123164
115794757
123482390
13213594c
1414b72b2
15d4e6c9
hex9a779c

10123164 has 48 divisors (see below), whose sum is σ = 26656000. Its totient is φ = 3321648.

The previous prime is 10123153. The next prime is 10123171. The reversal of 10123164 is 46132101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537 + ... + 7935.

Almost surely, 210123164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10123164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328000).

10123164 is an abundant number, since it is smaller than the sum of its proper divisors (16532836).

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

10123164 is a wasteful number, since it uses less digits than its factorization.

10123164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10123164 is about 3181.6920026929. The cubic root of 10123164 is about 216.3243583595.

Adding to 10123164 its reverse (46132101), we get a palindrome (56255265).

The spelling of 10123164 in words is "ten million, one hundred twenty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1399 1809 2412 2798 3618 4197 5596 7236 8394 12591 16788 25182 37773 50364 75546 93733 151092 187466 281199 374932 562398 843597 1124796 1687194 2530791 3374388 5061582 10123164