Search a number
-
+
12487384 = 23713171009
BaseRepresentation
bin101111101000…
…101011011000
3212111102110201
4233220223120
511144044014
61123351544
7211066240
oct57505330
925442421
1012487384
117059a58
1242225b4
132782ab0
141930b20
151169e74
hexbe8ad8

12487384 has 64 divisors (see below), whose sum is σ = 30542400. Its totient is φ = 4644864.

The previous prime is 12487381. The next prime is 12487403. The reversal of 12487384 is 48378421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12487381) 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 15 ways as a sum of consecutive naturals, for example, 11872 + ... + 12880.

It is an arithmetic number, because the mean of its divisors is an integer number (477225).

Almost surely, 212487384 is an apocalyptic number.

12487384 is a gapful number since it is divisible by the number (14) 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 12487384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15271200).

12487384 is an abundant number, since it is smaller than the sum of its proper divisors (18055016).

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

12487384 is a wasteful number, since it uses less digits than its factorization.

12487384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 12487384 is about 3533.7492836929. The cubic root of 12487384 is about 232.0013376855.

The spelling of 12487384 in words is "twelve million, four hundred eighty-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1009 1547 1768 2018 3094 4036 6188 7063 8072 12376 13117 14126 17153 26234 28252 34306 52468 56504 68612 91819 104936 120071 137224 183638 222989 240142 367276 445978 480284 734552 891956 960568 1560923 1783912 3121846 6243692 12487384