Search a number
-
+
12423712 = 257371499
BaseRepresentation
bin101111011001…
…001000100000
3212101012010111
4233121020200
511140024322
61122141104
7210412510
oct57311040
925335114
1012423712
117016134
1241b1794
13275cb12
141915840
151156177
hexbd9220

12423712 has 48 divisors (see below), whose sum is σ = 28728000. Its totient is φ = 5177088.

The previous prime is 12423673. The next prime is 12423713. The reversal of 12423712 is 21732421.

It is not an unprimeable number, because it can be changed into a prime (12423713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7539 + ... + 9037.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 212423712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14364000).

12423712 is an abundant number, since it is smaller than the sum of its proper divisors (16304288).

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

12423712 is a wasteful number, since it uses less digits than its factorization.

12423712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 12423712 is about 3524.7286420376. The cubic root of 12423712 is about 231.6063478960.

The spelling of 12423712 in words is "twelve million, four hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1499 2072 2998 4144 5996 8288 10493 11992 20986 23984 41972 47968 55463 83944 110926 167888 221852 335776 388241 443704 776482 887408 1552964 1774816 3105928 6211856 12423712