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3112540540 = 225175323259
BaseRepresentation
bin1011100110000101…
…1001100101111100
322000220210102221021
42321201121211330
522333302244130
61232504313524
7140063105134
oct27141314574
98026712837
103112540540
111357a4785a
1272a4728a4
133a7ac9085
1421753dac4
151333c437a
hexb985997c

3112540540 has 72 divisors (see below), whose sum is σ = 7056035280. Its totient is φ = 1149318144.

The previous prime is 3112540477. The next prime is 3112540553. The reversal of 3112540540 is 450452113.

It is a happy number.

It is a super-2 number, since 2×31125405402 = 19375817226286983200, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 953431 + ... + 956689.

It is an arithmetic number, because the mean of its divisors is an integer number (98000490).

Almost surely, 23112540540 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 3112540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528017640).

3112540540 is an abundant number, since it is smaller than the sum of its proper divisors (3943494740).

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

3112540540 is a wasteful number, since it uses less digits than its factorization.

3112540540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 3112540540 is about 55790.1473380381. The cubic root of 3112540540 is about 1460.0632580335.

Adding to 3112540540 its reverse (450452113), we get a palindrome (3562992653).

The spelling of 3112540540 in words is "three billion, one hundred twelve million, five hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 2809 3259 3604 4505 5618 6518 9010 11236 13036 14045 16295 18020 28090 32590 47753 55403 56180 65180 95506 110806 172727 191012 221612 238765 277015 345454 477530 554030 690908 863635 955060 1108060 1727270 2936359 3454540 5872718 9154531 11745436 14681795 18309062 29363590 36618124 45772655 58727180 91545310 155627027 183090620 311254054 622508108 778135135 1556270270 3112540540