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889920 = 26335103
BaseRepresentation
bin11011001010001000000
31200012202000
43121101000
5211434140
631024000
710364343
oct3312100
91605660
10889920
11558679
1236b000
132520a5
1419245a
15128a30
hexd9440

889920 has 112 divisors (see below), whose sum is σ = 3169920. Its totient is φ = 235008.

The previous prime is 889909. The next prime is 889921. The reversal of 889920 is 29988.

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

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (889921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8589 + ... + 8691.

2889920 is an apocalyptic number.

889920 is a gapful number since it is divisible by the number (80) 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 889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584960).

889920 is an abundant number, since it is smaller than the sum of its proper divisors (2280000).

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

889920 is a wasteful number, since it uses less digits than its factorization.

889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 889920 is about 943.3557123376. The cubic root of 889920 is about 96.1871349765.

The spelling of 889920 in words is "eight hundred eighty-nine thousand, nine hundred twenty".