[go: up one dir, main page]

Search a number
-
+
1989072 = 243219727
BaseRepresentation
bin111100101100111010000
310202001111100
413211213100
51002122242
6110344400
722623021
oct7454720
93661440
101989072
111139468
127bb100
13548487
1439ac48
1529454c
hex1e59d0

1989072 has 60 divisors (see below), whose sum is σ = 5867680. Its totient is φ = 627264.

The previous prime is 1989059. The next prime is 1989073. The reversal of 1989072 is 2709891.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989073) by changing a digit.

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, 2373 + ... + 3099.

21989072 is an apocalyptic number.

1989072 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 1989072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933840).

1989072 is an abundant number, since it is smaller than the sum of its proper divisors (3878608).

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

1989072 is a wasteful number, since it uses less digits than its factorization.

1989072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1989072 is about 1410.3446387320. The cubic root of 1989072 is about 125.7622121476.

The spelling of 1989072 in words is "one million, nine hundred eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 727 912 1368 1454 2181 2736 2908 4362 5816 6543 8724 11632 13086 13813 17448 26172 27626 34896 41439 52344 55252 82878 104688 110504 124317 165756 221008 248634 331512 497268 663024 994536 1989072