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1989936 = 2432131063
BaseRepresentation
bin111100101110100110000
310202002200100
413211310300
51002134221
6110352400
722625364
oct7456460
93662610
101989936
11113a083
127bb700
135489a0
1439b2a4
15294926
hex1e5d30

1989936 has 60 divisors (see below), whose sum is σ = 6003088. Its totient is φ = 611712.

The previous prime is 1989919. The next prime is 1989947. The reversal of 1989936 is 6399891.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1989891 and 1989900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1341 + ... + 2403.

21989936 is an apocalyptic number.

1989936 is a gapful number since it is divisible by the number (16) 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 1989936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001544).

1989936 is an abundant number, since it is smaller than the sum of its proper divisors (4013152).

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

1989936 is a wasteful number, since it uses less digits than its factorization.

1989936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1081 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 1989936 is about 1410.6509135856. The cubic root of 1989936 is about 125.7804187656.

Subtracting from 1989936 its sum of digits (45), we obtain a palindrome (1989891).

The spelling of 1989936 in words is "one million, nine hundred eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1063 1872 2126 3189 4252 6378 8504 9567 12756 13819 17008 19134 25512 27638 38268 41457 51024 55276 76536 82914 110552 124371 153072 165828 221104 248742 331656 497484 663312 994968 1989936