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289490760 = 23355132979
BaseRepresentation
bin10001010000010…
…100011101001000
3202011201122200000
4101100110131020
51043102201020
644420443000
710113426246
oct2120243510
9664648600
10289490760
11139456769
1280b49460
1347c8b510
142a639796
151a635090
hex11414748

289490760 has 384 divisors, whose sum is σ = 1100736000. Its totient is φ = 67931136.

The previous prime is 289490753. The next prime is 289490797. The reversal of 289490760 is 67094982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3664401 + ... + 3664479.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2289490760 is an apocalyptic number.

289490760 is a gapful number since it is divisible by the number (20) 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 289490760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368000).

289490760 is an abundant number, since it is smaller than the sum of its proper divisors (811245240).

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

289490760 is a wasteful number, since it uses less digits than its factorization.

289490760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 289490760 is about 17014.4279950870. The cubic root of 289490760 is about 661.5229294657.

The spelling of 289490760 in words is "two hundred eighty-nine million, four hundred ninety thousand, seven hundred sixty".