Search a number
-
+
5340345160 = 235239536091
BaseRepresentation
bin1001111100100111…
…10011001101001000
3111210011210122100111
410332103303031020
541414112021120
62241530044104
7246224120263
oct47623631510
914704718314
105340345160
1122a05383a7
121050579634
13671514367
14389377cda
15213c8475a
hex13e4f3348

5340345160 has 64 divisors (see below), whose sum is σ = 12553418880. Its totient is φ = 2040783360.

The previous prime is 5340345151. The next prime is 5340345187. The reversal of 5340345160 is 615430435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873715 + ... + 879805.

It is an arithmetic number, because the mean of its divisors is an integer number (196147170).

Almost surely, 25340345160 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 5340345160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276709440).

5340345160 is an abundant number, since it is smaller than the sum of its proper divisors (7213073720).

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

5340345160 is a wasteful number, since it uses less digits than its factorization.

5340345160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 5340345160 is about 73077.6652610084. The cubic root of 5340345160 is about 1747.9262685187.

Adding to 5340345160 its reverse (615430435), we get a palindrome (5955775595).

The spelling of 5340345160 in words is "five billion, three hundred forty million, three hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 953 1906 3812 4765 6091 7624 9530 12182 19060 21919 24364 30455 38120 43838 48728 60910 87676 109595 121820 140093 175352 219190 243640 280186 438380 560372 700465 876760 1120744 1400930 2801860 5603720 5804723 11609446 23218892 29023615 46437784 58047230 116094460 133508629 232188920 267017258 534034516 667543145 1068069032 1335086290 2670172580 5340345160