Search a number
-
+
12930132 = 22317241263
BaseRepresentation
bin110001010100…
…110001010100
3220022220210210
4301110301110
511302231012
61141045420
7214622115
oct61246124
926286723
1012930132
117331666
1243b6870
1328a9487
141a0820c
15120623c
hexc54c54

12930132 has 48 divisors (see below), whose sum is σ = 32199552. Its totient is φ = 4024320.

The previous prime is 12930119. The next prime is 12930133. The reversal of 12930132 is 23103921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12930099 and 12930108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12930133) 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, 49033 + ... + 49295.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 212930132 is an apocalyptic number.

12930132 is a gapful number since it is divisible by the number (12) 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 12930132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099776).

12930132 is an abundant number, since it is smaller than the sum of its proper divisors (19269420).

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

12930132 is a wasteful number, since it uses less digits than its factorization.

12930132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 12930132 is about 3595.8492738156. The cubic root of 12930132 is about 234.7114732724.

The spelling of 12930132 in words is "twelve million, nine hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 241 263 482 526 723 789 964 1052 1446 1578 2892 3156 4097 4471 8194 8942 12291 13413 16388 17884 24582 26826 49164 53652 63383 126766 190149 253532 380298 760596 1077511 2155022 3232533 4310044 6465066 12930132