Search a number
-
+
12880176 = 2431929487
BaseRepresentation
bin110001001000…
…100100110000
3220020101021120
4301020210300
511244131201
61140022240
7214323351
oct61104460
926211246
1012880176
1172a8081
124391980
13288c80a
1419d3d28
1511e6536
hexc48930

12880176 has 80 divisors (see below), whose sum is σ = 36307200. Its totient is φ = 3919104.

The previous prime is 12880171. The next prime is 12880183. The reversal of 12880176 is 67108821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12880171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26205 + ... + 26691.

It is an arithmetic number, because the mean of its divisors is an integer number (453840).

Almost surely, 212880176 is an apocalyptic number.

12880176 is a gapful number since it is divisible by the number (16) 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 12880176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153600).

12880176 is an abundant number, since it is smaller than the sum of its proper divisors (23427024).

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

12880176 is a wasteful number, since it uses less digits than its factorization.

12880176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 12880176 is about 3588.8962091429. The cubic root of 12880176 is about 234.4088112643.

Adding to 12880176 its reverse (67108821), we get a palindrome (79988997).

The spelling of 12880176 in words is "twelve million, eight hundred eighty thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 487 551 696 912 974 1102 1392 1461 1653 1948 2204 2922 3306 3896 4408 5844 6612 7792 8816 9253 11688 13224 14123 18506 23376 26448 27759 28246 37012 42369 55518 56492 74024 84738 111036 112984 148048 169476 222072 225968 268337 338952 444144 536674 677904 805011 1073348 1610022 2146696 3220044 4293392 6440088 12880176