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10872 = 2332151
BaseRepresentation
bin10101001111000
3112220200
42221320
5321442
6122200
743461
oct25170
915820
1010872
118194
126360
134c44
143d68
15334c
hex2a78

10872 has 24 divisors (see below), whose sum is σ = 29640. Its totient is φ = 3600.

The previous prime is 10867. The next prime is 10883. The reversal of 10872 is 27801.

10872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1235).

210872 is an apocalyptic number.

10872 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 10872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14820).

10872 is an abundant number, since it is smaller than the sum of its proper divisors (18768).

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

10872 is a wasteful number, since it uses less digits than its factorization.

10872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10872 is about 104.2688831819. The cubic root of 10872 is about 22.1532006578.

It can be divided in two parts, 1087 and 2, that added together give a square (1089 = 332).

The spelling of 10872 in words is "ten thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872