Search a number
-
+
5753713920 = 283517531663
BaseRepresentation
bin1010101101111001…
…01011010100000000
3112211222121221200120
411112330223110000
543240422321140
62350534020240
7262403522103
oct52674532400
915758557616
105753713920
112492904479
121146aa7680
13709056966
143c821c73a
1523a1d91d0
hex156f2b500

5753713920 has 288 divisors, whose sum is σ = 19835891712. Its totient is φ = 1415970816.

The previous prime is 5753713891. The next prime is 5753713921. The reversal of 5753713920 is 293173575.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753713921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459009 + ... + 3460671.

It is an arithmetic number, because the mean of its divisors is an integer number (68874624).

Almost surely, 25753713920 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 5753713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9917945856).

5753713920 is an abundant number, since it is smaller than the sum of its proper divisors (14082177792).

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

5753713920 is a wasteful number, since it uses less digits than its factorization.

5753713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The square root of 5753713920 is about 75853.2393507357. The cubic root of 5753713920 is about 1791.9095670776.

The spelling of 5753713920 in words is "five billion, seven hundred fifty-three million, seven hundred thirteen thousand, nine hundred twenty".