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5126435320 = 235673315779
BaseRepresentation
bin1001100011000111…
…10011000111111000
3111020021021220012211
410301203303013320
540444331412240
62204405144504
7241015660366
oct46143630770
914207256184
105126435320
1121a0814806
12bb09bb134
136390c99a6
14368bb4636
152000cdbea
hex1318f31f8

5126435320 has 64 divisors (see below), whose sum is σ = 11744035200. Its totient is φ = 2013517440.

The previous prime is 5126435297. The next prime is 5126435329. The reversal of 5126435320 is 235346215.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126435329) 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 15 ways as a sum of consecutive naturals, for example, 884191 + ... + 889969.

It is an arithmetic number, because the mean of its divisors is an integer number (183500550).

Almost surely, 25126435320 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 5126435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872017600).

5126435320 is an abundant number, since it is smaller than the sum of its proper divisors (6617599880).

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

5126435320 is a wasteful number, since it uses less digits than its factorization.

5126435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6188 (or 6184 counting only the distinct ones).

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

The square root of 5126435320 is about 71599.1293243151. The cubic root of 5126435320 is about 1724.2695578565.

The spelling of 5126435320 in words is "five billion, one hundred twenty-six million, four hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 331 335 536 662 670 1324 1340 1655 2648 2680 3310 5779 6620 11558 13240 22177 23116 28895 44354 46232 57790 88708 110885 115580 177416 221770 231160 387193 443540 774386 887080 1548772 1912849 1935965 3097544 3825698 3871930 7651396 7743860 9564245 15302792 15487720 19128490 38256980 76513960 128160883 256321766 512643532 640804415 1025287064 1281608830 2563217660 5126435320