Search a number
-
+
5370520320 = 283451117277
BaseRepresentation
bin1010000000001101…
…11010001100000000
3111212021120200220000
411000012322030000
541444323122240
62244524520000
7250041445434
oct50006721400
914767520800
105370520320
112306578450
12105a6b0000
1367784ac99
1438d3909c4
15216745430
hex1401ba300

5370520320 has 720 divisors, whose sum is σ = 22276967328. Its totient is φ = 1220935680.

The previous prime is 5370520249. The next prime is 5370520327. The reversal of 5370520320 is 230250735.

5370520320 is a `hidden beast` number, since 53 + 70 + 520 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×53705203203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370520327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19388022 + ... + 19388298.

Almost surely, 25370520320 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 5370520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138483664).

5370520320 is an abundant number, since it is smaller than the sum of its proper divisors (16906447008).

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

5370520320 is a wasteful number, since it uses less digits than its factorization.

5370520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 5370520320 is about 73283.8339608402. The cubic root of 5370520320 is about 1751.2122561092.

The spelling of 5370520320 in words is "five billion, three hundred seventy million, five hundred twenty thousand, three hundred twenty".