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2015535340 = 2257133732969
BaseRepresentation
bin111100000100010…
…1010000011101100
312012110120210201001
41320020222003230
513111434112330
6531555530044
7100642524220
oct17010520354
95173523631
102015535340
11944798595
12482bb9924
13261756580
14151980780
15bbe309ca
hex7822a0ec

2015535340 has 96 divisors (see below), whose sum is σ = 5225109120. Its totient is φ = 635959296.

The previous prime is 2015535337. The next prime is 2015535341. The reversal of 2015535340 is 435355102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2015535299 and 2015535308.

It is not an unprimeable number, because it can be changed into a prime (2015535341) 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 31 ways as a sum of consecutive naturals, for example, 677376 + ... + 680344.

It is an arithmetic number, because the mean of its divisors is an integer number (54428220).

Almost surely, 22015535340 is an apocalyptic number.

2015535340 is a gapful number since it is divisible by the number (20) 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 2015535340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612554560).

2015535340 is an abundant number, since it is smaller than the sum of its proper divisors (3209573780).

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

2015535340 is a wasteful number, since it uses less digits than its factorization.

2015535340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The square root of 2015535340 is about 44894.7139427350. The cubic root of 2015535340 is about 1263.1748565297.

The spelling of 2015535340 in words is "two billion, fifteen million, five hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 373 455 746 910 1492 1820 1865 2611 2969 3730 4849 5222 5938 7460 9698 10444 11876 13055 14845 19396 20783 24245 26110 29690 33943 38597 41566 48490 52220 59380 67886 77194 83132 96980 103915 135772 154388 169715 192985 207830 270179 339430 385970 415660 540358 678860 771940 1080716 1107437 1350895 2214874 2701790 4429748 5403580 5537185 7752059 11074370 14396681 15504118 22148740 28793362 31008236 38760295 57586724 71983405 77520590 100776767 143966810 155041180 201553534 287933620 403107068 503883835 1007767670 2015535340