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2135847690 = 234517914731
BaseRepresentation
bin111111101001110…
…0111001100001010
312111211222022020000
41333103213030022
513333234111230
6551534343430
7103633256124
oct17723471412
95454868200
102135847690
119a66a2a89
124b735ab76
1328065c702
1416393c214
15c7798b60
hex7f4e730a

2135847690 has 80 divisors (see below), whose sum is σ = 5775533280. Its totient is φ = 566339040.

The previous prime is 2135847677. The next prime is 2135847719. The reversal of 2135847690 is 967485312.

2135847690 is a `hidden beast` number, since 2 + 1 + 3 + 584 + 7 + 69 + 0 = 666.

2135847690 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21358476902 = 9123690709756672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

2135847690 is strictly pandigital in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137625 + ... + 152355.

It is an arithmetic number, because the mean of its divisors is an integer number (72194166).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2135847690 = 4271695380, but 3⋅2135847690 = 6407543070 is not.

Almost surely, 22135847690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135847690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887766640).

2135847690 is an abundant number, since it is smaller than the sum of its proper divisors (3639685590).

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

2135847690 is a wasteful number, since it uses less digits than its factorization.

2135847690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14929 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2135847690 is about 46215.2322292120. The cubic root of 2135847690 is about 1287.8247277187.

The spelling of 2135847690 in words is "two billion, one hundred thirty-five million, eight hundred forty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 179 270 358 405 537 810 895 1074 1611 1790 2685 3222 4833 5370 8055 9666 14499 14731 16110 24165 28998 29462 44193 48330 72495 73655 88386 132579 144990 147310 220965 265158 397737 441930 662895 795474 1193211 1325790 1988685 2386422 2636849 3977370 5273698 5966055 7910547 11932110 13184245 15821094 23731641 26368490 39552735 47463282 71194923 79105470 118658205 142389846 213584769 237316410 355974615 427169538 711949230 1067923845 2135847690