Search a number
-
+
12947832 = 2332315801
BaseRepresentation
bin110001011001…
…000101111000
3220100211002100
4301121011320
511303312312
61141303400
7215024532
oct61310570
926324070
1012947832
117343997
124404b60
1328b4551
141a10852
15120b5dc
hexc59178

12947832 has 48 divisors (see below), whose sum is σ = 36204480. Its totient is φ = 4176000.

The previous prime is 12947819. The next prime is 12947843. The reversal of 12947832 is 23874921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (754260).

Almost surely, 212947832 is an apocalyptic number.

12947832 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 12947832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102240).

12947832 is an abundant number, since it is smaller than the sum of its proper divisors (23256648).

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

12947832 is a wasteful number, since it uses less digits than its factorization.

12947832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5837 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12947832 is about 3598.3096031331. The cubic root of 12947832 is about 234.8185229368.

It can be divided in two parts, 129 and 47832, that added together give a square (47961 = 2192).

The spelling of 12947832 in words is "twelve million, nine hundred forty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 5801 11602 17403 23204 34806 46408 52209 69612 104418 139224 179831 208836 359662 417672 539493 719324 1078986 1438648 1618479 2157972 3236958 4315944 6473916 12947832