Search a number
-
+
5460255760 = 245371844681
BaseRepresentation
bin1010001010111010…
…01110010000010000
3112002112102201202211
411011131032100100
542140311141020
62301452121504
7252211260001
oct50535162020
915075381684
105460255760
112352198a73
121084766294
1369030968b
1439b26d1a8
1521e56d85a
hex14574e410

5460255760 has 40 divisors (see below), whose sum is σ = 13038212376. Its totient is φ = 2125071360.

The previous prime is 5460255751. The next prime is 5460255763. The reversal of 5460255760 is 675520645.

It can be written as a sum of positive squares in 4 ways, for example, as 1165812736 + 4294443024 = 34144^2 + 65532^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×54602557602 = 59628785929226355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5460255763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 919381 + ... + 925300.

Almost surely, 25460255760 is an apocalyptic number.

It is an amenable number.

5460255760 is an abundant number, since it is smaller than the sum of its proper divisors (7577956616).

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

5460255760 is a wasteful number, since it uses less digits than its factorization.

5460255760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844731 (or 1844725 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 5460255760 is about 73893.5434256607. The cubic root of 5460255760 is about 1760.9120359081.

The spelling of 5460255760 in words is "five billion, four hundred sixty million, two hundred fifty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 1844681 3689362 7378724 9223405 14757448 18446810 29514896 36893620 68253197 73787240 136506394 147574480 273012788 341265985 546025576 682531970 1092051152 1365063940 2730127880 5460255760