Search a number
-
+
12380976 = 2432127677
BaseRepresentation
bin101111001110…
…101100110000
3212022000111200
4233032230300
511132142401
61121211200
7210144066
oct57165460
925260450
1012380976
116a97013
124190b00
13274652a
141904036
151148686
hexbceb30

12380976 has 60 divisors (see below), whose sum is σ = 34973952. Its totient is φ = 4088448.

The previous prime is 12380971. The next prime is 12381011. The reversal of 12380976 is 67908321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12380976.

It is not an unprimeable number, because it can be changed into a prime (12380971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17950 + ... + 18626.

Almost surely, 212380976 is an apocalyptic number.

12380976 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 12380976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486976).

12380976 is an abundant number, since it is smaller than the sum of its proper divisors (22592976).

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

12380976 is a wasteful number, since it uses less digits than its factorization.

12380976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12380976 is about 3518.6611090015. The cubic root of 12380976 is about 231.3404772815.

The spelling of 12380976 in words is "twelve million, three hundred eighty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 677 762 1016 1143 1354 1524 2031 2032 2286 2708 3048 4062 4572 5416 6093 6096 8124 9144 10832 12186 16248 18288 24372 32496 48744 85979 97488 171958 257937 343916 515874 687832 773811 1031748 1375664 1547622 2063496 3095244 4126992 6190488 12380976