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5340804660 = 2235517127509
BaseRepresentation
bin1001111100101011…
…00011011000110100
3111210012122222200000
410332111203120310
541414221222120
62241543551300
7246231043032
oct47625433064
914705588600
105340804660
1122a0821654
12105075b530
13671645559
14389457552
15213d25990
hex13e563634

5340804660 has 288 divisors, whose sum is σ = 17964011520. Its totient is φ = 1327269888.

The previous prime is 5340804653. The next prime is 5340804661. The reversal of 5340804660 is 664080435.

5340804660 is a `hidden beast` number, since 534 + 0 + 80 + 46 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340804661) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10492486 + ... + 10492994.

It is an arithmetic number, because the mean of its divisors is an integer number (62375040).

Almost surely, 25340804660 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 5340804660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8982005760).

5340804660 is an abundant number, since it is smaller than the sum of its proper divisors (12623206860).

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

5340804660 is a wasteful number, since it uses less digits than its factorization.

5340804660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5340804660 is about 73080.8091088214. The cubic root of 5340804660 is about 1747.9763994286.

It can be divided in two parts, 5340 and 804660, that added together give a 4-th power (810000 = 304).

The spelling of 5340804660 in words is "five billion, three hundred forty million, eight hundred four thousand, six hundred sixty".