Search a number
-
+
4540173120 = 26355719439
BaseRepresentation
bin1000011101001110…
…11000101101000000
3102201102010200200000
410032213120231000
533244241014440
62030303400000
7220336556220
oct41647305500
912642120600
104540173120
111a1a89a29a
12a685b3000
13574801092
14310da6080
151b88c6730
hex10e9d8b40

4540173120 has 672 divisors, whose sum is σ = 19526707200. Its totient is φ = 980895744.

The previous prime is 4540173073. The next prime is 4540173151. The reversal of 4540173120 is 213710454.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×45401731202 = 41226343919141068800, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341861 + ... + 10342299.

It is an arithmetic number, because the mean of its divisors is an integer number (29057600).

Almost surely, 24540173120 is an apocalyptic number.

4540173120 is a gapful number since it is divisible by the number (40) 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 4540173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763353600).

4540173120 is an abundant number, since it is smaller than the sum of its proper divisors (14986534080).

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

4540173120 is a wasteful number, since it uses less digits than its factorization.

4540173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4540173120 is about 67380.8067627570. The cubic root of 4540173120 is about 1655.8619922798.

Adding to 4540173120 its reverse (213710454), we get a palindrome (4753883574).

The spelling of 4540173120 in words is "four billion, five hundred forty million, one hundred seventy-three thousand, one hundred twenty".