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6106060520 = 2357213732269
BaseRepresentation
bin1011010111111001…
…10001011011101000
3120202112122000100122
411223330301123220
5100001122414040
62445522022412
7304212441500
oct55374613350
916675560318
106106060520
11265379170a
121224aa7a08
13764051c81
1441cd3aa00
1525b0d81b5
hex16bf316e8

6106060520 has 96 divisors (see below), whose sum is σ = 16000367400. Its totient is φ = 2091059712.

The previous prime is 6106060487. The next prime is 6106060529. The reversal of 6106060520 is 250606016.

It can be written as a sum of positive squares in 4 ways, for example, as 5119974916 + 986085604 = 71554^2 + 31402^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6106060520.

It is not an unprimeable number, because it can be changed into a prime (6106060529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689946 + ... + 2692214.

Almost surely, 26106060520 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 6106060520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000183700).

6106060520 is an abundant number, since it is smaller than the sum of its proper divisors (9894306880).

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

6106060520 is a wasteful number, since it uses less digits than its factorization.

6106060520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3656 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 6106060520 is about 78141.2856305807. The cubic root of 6106060520 is about 1827.7650480813.

Adding to 6106060520 its reverse (250606016), we get a palindrome (6356666536).

The spelling of 6106060520 in words is "six billion, one hundred six million, sixty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1373 1960 2269 2746 4538 5492 6865 9076 9611 10984 11345 13730 15883 18152 19222 22690 27460 31766 38444 45380 48055 54920 63532 67277 76888 79415 90760 96110 111181 127064 134554 158830 192220 222362 269108 317660 336385 384440 444724 538216 555905 635320 672770 889448 1111810 1345540 2223620 2691080 3115337 4447240 6230674 12461348 15576685 21807359 24922696 31153370 43614718 62306740 87229436 109036795 124613480 152651513 174458872 218073590 305303026 436147180 610606052 763257565 872294360 1221212104 1526515130 3053030260 6106060520