Search a number
-
+
745234560 = 27335761101
BaseRepresentation
bin101100011010110…
…110000010000000
31220221021211122000
4230122312002000
53011240001220
6201540544000
724316250340
oct5432660200
91827254560
10745234560
11352735834
121896b2000
13bb5196c5
1470d90d20
154565a390
hex2c6b6080

745234560 has 512 divisors, whose sum is σ = 3096230400. Its totient is φ = 165888000.

The previous prime is 745234543. The next prime is 745234579. The reversal of 745234560 is 65432547.

745234560 is a `hidden beast` number, since 74 + 5 + 23 + 4 + 560 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7378510 + ... + 7378610.

It is an arithmetic number, because the mean of its divisors is an integer number (6047325).

Almost surely, 2745234560 is an apocalyptic number.

745234560 is a gapful number since it is divisible by the number (70) 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 745234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548115200).

745234560 is an abundant number, since it is smaller than the sum of its proper divisors (2350995840).

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

745234560 is a wasteful number, since it uses less digits than its factorization.

745234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 745234560 is about 27298.9845965010. The cubic root of 745234560 is about 906.6318998587.

The spelling of 745234560 in words is "seven hundred forty-five million, two hundred thirty-four thousand, five hundred sixty".