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15680340 = 22325136701
BaseRepresentation
bin111011110100…
…001101010100
31002111122101100
4323310031110
513003232330
61320030100
7250165164
oct73641524
932448340
1015680340
11893a965
125302330
133330210
1421225a4
15159b060
hexef4354

15680340 has 72 divisors (see below), whose sum is σ = 51230088. Its totient is φ = 3859200.

The previous prime is 15680333. The next prime is 15680347. The reversal of 15680340 is 4308651.

It is an interprime number because it is at equal distance from previous prime (15680333) and next prime (15680347).

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 15586704 = 306^2 + 3948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15680347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 5690.

It is an arithmetic number, because the mean of its divisors is an integer number (711529).

Almost surely, 215680340 is an apocalyptic number.

15680340 is a gapful number since it is divisible by the number (10) 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 15680340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615044).

15680340 is an abundant number, since it is smaller than the sum of its proper divisors (35549748).

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

15680340 is a wasteful number, since it uses less digits than its factorization.

15680340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6729 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 15680340 is about 3959.8409058951. The cubic root of 15680340 is about 250.2947989045.

Adding to 15680340 its reverse (4308651), we get a palindrome (19988991).

The spelling of 15680340 in words is "fifteen million, six hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 6701 13402 20103 26804 33505 40206 60309 67010 80412 87113 100515 120618 134020 174226 201030 241236 261339 301545 348452 402060 435565 522678 603090 784017 871130 1045356 1206180 1306695 1568034 1742260 2613390 3136068 3920085 5226780 7840170 15680340