Search a number
-
+
5374187280 = 24325711315359
BaseRepresentation
bin1010000000101001…
…11001011100010000
3111212112111000000100
411000110321130100
542001242443110
62245135252400
7250114560330
oct50024713420
914775430010
105374187280
1123086524a0
12105b97a100
13678533097
1438da670c0
15216c1bbc0
hex140539710

5374187280 has 960 divisors, whose sum is σ = 24067031040. Its totient is φ = 1042329600.

The previous prime is 5374187261. The next prime is 5374187353. The reversal of 5374187280 is 827814735.

5374187280 is a `hidden beast` number, since 537 + 41 + 8 + 72 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 91087891 + ... + 91087949.

It is an arithmetic number, because the mean of its divisors is an integer number (25069824).

Almost surely, 25374187280 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 5374187280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033515520).

5374187280 is an abundant number, since it is smaller than the sum of its proper divisors (18692843760).

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

5374187280 is a wasteful number, since it uses less digits than its factorization.

5374187280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 5374187280 is about 73308.8485791449. The cubic root of 5374187280 is about 1751.6107379394.

The spelling of 5374187280 in words is "five billion, three hundred seventy-four million, one hundred eighty-seven thousand, two hundred eighty".