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2132113340 = 225723228789
BaseRepresentation
bin111111100010101…
…0111011110111100
312111120221120122202
41333011113132330
513331310111330
6551322331032
7103556443610
oct17705273674
95446846582
102132113340
119a4582345
124b6059a78
1327c952a36
14163249340
15c72ac445
hex7f1577bc

2132113340 has 72 divisors (see below), whose sum is σ = 5349412320. Its totient is φ = 699202944.

The previous prime is 2132113337. The next prime is 2132113387. The reversal of 2132113340 is 433112312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59666 + ... + 88454.

Almost surely, 22132113340 is an apocalyptic number.

2132113340 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 2132113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674706160).

2132113340 is an abundant number, since it is smaller than the sum of its proper divisors (3217298980).

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

2132113340 is a wasteful number, since it uses less digits than its factorization.

2132113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28851 (or 28826 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2132113340 is about 46174.8128312395. The cubic root of 2132113340 is about 1287.0737388037.

Adding to 2132113340 its reverse (433112312), we get a palindrome (2565225652).

The spelling of 2132113340 in words is "two billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 529 644 805 1058 1610 2116 2645 3220 3703 5290 7406 10580 14812 18515 28789 37030 57578 74060 115156 143945 201523 287890 403046 575780 662147 806092 1007615 1324294 2015230 2648588 3310735 4030460 4635029 6621470 9270058 13242940 15229381 18540116 23175145 30458762 46350290 60917524 76146905 92700580 106605667 152293810 213211334 304587620 426422668 533028335 1066056670 2132113340