Search a number
-
+
5060739600 = 2433527273131
BaseRepresentation
bin1001011011010010…
…01100001000010000
3111001200200012122000
410231221030020100
540331022131400
62154101114000
7236260401600
oct45551141020
914050605560
105060739600
112167723624
12b929b8900
13628607397
14360192c00
151e9453600
hex12da4c210

5060739600 has 720 divisors, whose sum is σ = 21402469440. Its totient is φ = 1132185600.

The previous prime is 5060739599. The next prime is 5060739613. The reversal of 5060739600 is 69370605.

It is a happy number.

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

It is a super-2 number, since 2×50607396002 = 51222170598016320000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 38631535 + ... + 38631665.

It is an arithmetic number, because the mean of its divisors is an integer number (29725652).

Almost surely, 25060739600 is an apocalyptic number.

5060739600 is a gapful number since it is divisible by the number (50) 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 5060739600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701234720).

5060739600 is an abundant number, since it is smaller than the sum of its proper divisors (16341729840).

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

5060739600 is a wasteful number, since it uses less digits than its factorization.

5060739600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5060739600 is about 71138.8754479574. The cubic root of 5060739600 is about 1716.8723131064.

The spelling of 5060739600 in words is "five billion, sixty million, seven hundred thirty-nine thousand, six hundred".