Search a number
-
+
5734713600 = 283352711431
BaseRepresentation
bin1010101011101000…
…01100100100000000
3112210122212122011000
411111310030210000
543221041313400
62345014452000
7262053155430
oct52564144400
915718778130
105734713600
112483107230
121140664000
13705133575
143c58b42c0
152386d4600
hex155d0c900

5734713600 has 864 divisors, whose sum is σ = 26278318080. Its totient is φ = 1188864000.

The previous prime is 5734713587. The next prime is 5734713629. The reversal of 5734713600 is 63174375.

5734713600 is a `hidden beast` number, since 5 + 7 + 3 + 47 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 13305385 + ... + 13305815.

It is an arithmetic number, because the mean of its divisors is an integer number (30414720).

Almost surely, 25734713600 is an apocalyptic number.

5734713600 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 5734713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139159040).

5734713600 is an abundant number, since it is smaller than the sum of its proper divisors (20543604480).

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

5734713600 is a wasteful number, since it uses less digits than its factorization.

5734713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5734713600 is about 75727.8918232906. The cubic root of 5734713600 is about 1789.9349351629.

Adding to 5734713600 its reverse (63174375), we get a palindrome (5797887975).

The spelling of 5734713600 in words is "five billion, seven hundred thirty-four million, seven hundred thirteen thousand, six hundred".