Search a number
-
+
663051360 = 2535192329109
BaseRepresentation
bin100111100001010…
…101110001100000
31201012122111110210
4213201111301200
52324220120420
6145443254120
722300562226
oct4741256140
91635574423
10663051360
11310303334
1216607a340
13a74a36aa
14640bab16
153d3249e0
hex27855c60

663051360 has 384 divisors, whose sum is σ = 2395008000. Its totient is φ = 153280512.

The previous prime is 663051353. The next prime is 663051373. The reversal of 663051360 is 63150366.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6082986 + ... + 6083094.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2663051360 is an apocalyptic number.

663051360 is a gapful number since it is divisible by the number (60) 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 663051360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504000).

663051360 is an abundant number, since it is smaller than the sum of its proper divisors (1731956640).

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

663051360 is a wasteful number, since it uses less digits than its factorization.

663051360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 663051360 is about 25749.7836884118. The cubic root of 663051360 is about 871.9984709453.

The spelling of 663051360 in words is "six hundred sixty-three million, fifty-one thousand, three hundred sixty".