Search a number
-
+
12575164 = 227283773
BaseRepresentation
bin101111111110…
…000110111100
3212122212212211
4233332012330
511204401124
61125310204
7211613200
oct57760674
925585784
1012575164
1171099a8
124265364
1327b3a34
141954b00
151185e94
hexbfe1bc

12575164 has 36 divisors (see below), whose sum is σ = 25941384. Its totient is φ = 5317536.

The previous prime is 12575149. The next prime is 12575209. The reversal of 12575164 is 46157521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15882 + ... + 16654.

It is an arithmetic number, because the mean of its divisors is an integer number (720594).

Almost surely, 212575164 is an apocalyptic number.

12575164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970692).

12575164 is an abundant number, since it is smaller than the sum of its proper divisors (13366220).

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

12575164 is a wasteful number, since it uses less digits than its factorization.

12575164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 865 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 12575164 is about 3546.1477690587. The cubic root of 12575164 is about 232.5436862450.

The spelling of 12575164 in words is "twelve million, five hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 581 773 1162 1546 2324 3092 4067 5411 8134 10822 16268 21644 37877 64159 75754 128318 151508 256636 449113 898226 1796452 3143791 6287582 12575164