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12380832 = 253242989
BaseRepresentation
bin101111001110…
…101010100000
3212022000022100
4233032222200
511132141312
61121210400
7210143502
oct57165240
925260270
1012380832
116a969a2
124190a00
132746449
141903d72
1511485dc
hexbceaa0

12380832 has 36 divisors (see below), whose sum is σ = 35208810. Its totient is φ = 4126848.

The previous prime is 12380821. The next prime is 12380843. The reversal of 12380832 is 23808321.

12380832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12380821) and next prime (12380843).

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 1648656 = 3276^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 12380796 and 12380805.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21207 + ... + 21782.

Almost surely, 212380832 is an apocalyptic number.

12380832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12380832 is an abundant number, since it is smaller than the sum of its proper divisors (22827978).

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

12380832 is a wasteful number, since it uses less digits than its factorization.

12380832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43005 (or 42994 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 12380832 is about 3518.6406466134. The cubic root of 12380832 is about 231.3395803905.

The spelling of 12380832 in words is "twelve million, three hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 42989 85978 128967 171956 257934 343912 386901 515868 687824 773802 1031736 1375648 1547604 2063472 3095208 4126944 6190416 12380832