Search a number
-
+
1989107296 = 251115137423
BaseRepresentation
bin111011010001111…
…0101111001100000
312010121212010020121
41312203311321200
513033202413141
6525213250024
7100202063431
oct16643657140
95117763217
101989107296
11930887830
12476193914
13259132387
1414c261488
15b99601d1
hex768f5e60

1989107296 has 48 divisors (see below), whose sum is σ = 4300466688. Its totient is φ = 898128000.

The previous prime is 1989107279. The next prime is 1989107311. The reversal of 1989107296 is 6927019891.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34441 + ... + 71863.

It is an arithmetic number, because the mean of its divisors is an integer number (89593056).

Almost surely, 21989107296 is an apocalyptic number.

1989107296 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 1989107296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150233344).

1989107296 is an abundant number, since it is smaller than the sum of its proper divisors (2311359392).

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

1989107296 is a wasteful number, since it uses less digits than its factorization.

1989107296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37595 (or 37587 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The square root of 1989107296 is about 44599.4091440683. The cubic root of 1989107296 is about 1257.6295602498.

The spelling of 1989107296 in words is "one billion, nine hundred eighty-nine million, one hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 151 176 302 352 604 1208 1661 2416 3322 4832 6644 13288 26576 37423 53152 74846 149692 299384 411653 598768 823306 1197536 1646612 3293224 5650873 6586448 11301746 13172896 22603492 45206984 62159603 90413968 124319206 180827936 248638412 497276824 994553648 1989107296