Search a number
-
+
5460808320 = 273351128729
BaseRepresentation
bin1010001010111110…
…10101001010000000
3112002120110210202000
411011133111022000
542140431331240
62301512024000
7252216050652
oct50537251200
915076423660
105460808320
112352536130
121084992000
13690471036
1439b3746d2
1521e62c430
hex1457d5280

5460808320 has 256 divisors, whose sum is σ = 21099312000. Its totient is φ = 1323786240.

The previous prime is 5460808313. The next prime is 5460808343. The reversal of 5460808320 is 238080645.

5460808320 is a `hidden beast` number, since 546 + 0 + 80 + 8 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175716 + ... + 204444.

Almost surely, 25460808320 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 5460808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549656000).

5460808320 is an abundant number, since it is smaller than the sum of its proper divisors (15638503680).

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

5460808320 is a wasteful number, since it uses less digits than its factorization.

5460808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28768 (or 28750 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5460808320 is about 73897.2822233673. The cubic root of 5460808320 is about 1760.9714334149.

Adding to 5460808320 its reverse (238080645), we get a palindrome (5698888965).

The spelling of 5460808320 in words is "five billion, four hundred sixty million, eight hundred eight thousand, three hundred twenty".