Search a number
-
+
89880 = 23357107
BaseRepresentation
bin10101111100011000
311120021220
4111330120
510334010
61532040
7523020
oct257430
9146256
1089880
116158a
1244020
1331bab
1424a80
151b970
hex15f18

89880 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 20352.

The previous prime is 89867. The next prime is 89891. The reversal of 89880 is 8898.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

289880 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 89880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

89880 is an abundant number, since it is smaller than the sum of its proper divisors (221160).

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

89880 is a wasteful number, since it uses less digits than its factorization.

89880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 89880 is about 299.7999332889. The cubic root of 89880 is about 44.7941212524.

It can be divided in two parts, 89 and 880, that added together give a palindrome (969).

The spelling of 89880 in words is "eighty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 420 428 535 642 749 840 856 1070 1284 1498 1605 2140 2247 2568 2996 3210 3745 4280 4494 5992 6420 7490 8988 11235 12840 14980 17976 22470 29960 44940 89880