Search a number
-
+
1330089984 = 2123419211
BaseRepresentation
bin100111101000111…
…1001000000000000
310102200210120110000
41033101321000000
510211000334414
6335552240000
744650402236
oct11721710000
93380716400
101330089984
1162288a323
12311540000
13182741bc2
14c8914956
157bb85b09
hex4f479000

1330089984 has 260 divisors, whose sum is σ = 4202310640. Its totient is φ = 418037760.

The previous prime is 1330089973. The next prime is 1330089991. The reversal of 1330089984 is 4899800331.

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 19 ways as a sum of consecutive naturals, for example, 6303639 + ... + 6303849.

Almost surely, 21330089984 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 1330089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101155320).

1330089984 is an abundant number, since it is smaller than the sum of its proper divisors (2872220656).

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

1330089984 is an equidigital number, since it uses as much as digits as its factorization.

1330089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1330089984 is about 36470.3987365096. The cubic root of 1330089984 is about 1099.7492497317.

The spelling of 1330089984 in words is "one billion, three hundred thirty million, eighty-nine thousand, nine hundred eighty-four".