Search a number
-
+
5334020316 = 2233596113723
BaseRepresentation
bin1001111011110111…
…01011000011011100
3111202201220022022000
410331323223003130
541411002122231
62241142322300
7246116265432
oct47573530334
914681808260
105334020316
112297a08459
12104a429390
1367010b551
143885acd52
152134356e6
hex13deeb0dc

5334020316 has 96 divisors (see below), whose sum is σ = 14294918400. Its totient is φ = 1719092160.

The previous prime is 5334020297. The next prime is 5334020339. The reversal of 5334020316 is 6130204335.

It is a happy number.

5334020316 is a `hidden beast` number, since 5 + 3 + 340 + 2 + 0 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5334020316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381831 + ... + 395553.

It is an arithmetic number, because the mean of its divisors is an integer number (148905400).

Almost surely, 25334020316 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 5334020316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147459200).

5334020316 is an abundant number, since it is smaller than the sum of its proper divisors (8960898084).

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

5334020316 is a wasteful number, since it uses less digits than its factorization.

5334020316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13848 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5334020316 is about 73034.3776313593. The cubic root of 5334020316 is about 1747.2359430815.

The spelling of 5334020316 in words is "five billion, three hundred thirty-four million, twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 61 108 118 122 177 183 236 244 354 366 531 549 708 732 1062 1098 1593 1647 2124 2196 3186 3294 3599 6372 6588 7198 10797 13723 14396 21594 27446 32391 41169 43188 54892 64782 82338 97173 123507 129564 164676 194346 247014 370521 388692 494028 741042 809657 837103 1482084 1619314 1674206 2428971 2511309 3238628 3348412 4857942 5022618 7286913 7533927 9715884 10045236 14573826 15067854 21860739 22601781 29147652 30135708 43721478 45203562 49389077 87442956 90407124 98778154 148167231 197556308 296334462 444501693 592668924 889003386 1333505079 1778006772 2667010158 5334020316