Search a number
-
+
12913032 = 23311411193
BaseRepresentation
bin110001010000…
…100110001000
3220022001100110
4301100212020
511301204112
61140434320
7214521216
oct61204610
926261313
1012913032
11731a830
1243a89a0
1328a1762
141a01cb6
15120113c
hexc50988

12913032 has 64 divisors (see below), whose sum is σ = 36106560. Its totient is φ = 3814400.

The previous prime is 12913003. The next prime is 12913039. The reversal of 12913032 is 23031921.

It is a happy number.

It is a super-3 number, since 3×129130323 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12913039) 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, 10228 + ... + 11420.

It is an arithmetic number, because the mean of its divisors is an integer number (564165).

Almost surely, 212913032 is an apocalyptic number.

12913032 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 12913032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053280).

12913032 is an abundant number, since it is smaller than the sum of its proper divisors (23193528).

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

12913032 is a wasteful number, since it uses less digits than its factorization.

12913032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1250 counting only the distinct ones).

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

The square root of 12913032 is about 3593.4707456719. The cubic root of 12913032 is about 234.6079595883.

Adding to 12913032 its reverse (23031921), we get a palindrome (35944953).

The spelling of 12913032 in words is "twelve million, nine hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1193 1353 1804 2386 2706 3579 3608 4772 5412 7158 9544 10824 13123 14316 26246 28632 39369 48913 52492 78738 97826 104984 146739 157476 195652 293478 314952 391304 538043 586956 1076086 1173912 1614129 2152172 3228258 4304344 6456516 12913032