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2136558240 = 253251483721
BaseRepresentation
bin111111101011001…
…0100101010100000
312111220022101220200
41333112110222200
513333424330430
6552001505200
7103642305525
oct17726245240
95456271820
102136558240
119a7038913
124b7642200
1328084ac5b
14163a8514c
15c7889460
hex7f594aa0

2136558240 has 72 divisors (see below), whose sum is σ = 7291009908. Its totient is φ = 569748480.

The previous prime is 2136558217. The next prime is 2136558241. The reversal of 2136558240 is 428556312.

2136558240 is a `hidden beast` number, since 2 + 1 + 36 + 5 + 582 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2102405904 + 34152336 = 45852^2 + 5844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21365582402 = 9129762225823795200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2136558195 and 2136558204.

It is not an unprimeable number, because it can be changed into a prime (2136558241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740421 + ... + 743300.

Almost surely, 22136558240 is an apocalyptic number.

2136558240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136558240 is an abundant number, since it is smaller than the sum of its proper divisors (5154451668).

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

2136558240 is a wasteful number, since it uses less digits than its factorization.

2136558240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483742 (or 1483731 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2136558240 is about 46222.9189904748. The cubic root of 2136558240 is about 1287.9675222962.

The spelling of 2136558240 in words is "two billion, one hundred thirty-six million, five hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1483721 2967442 4451163 5934884 7418605 8902326 11869768 13353489 14837210 17804652 22255815 23739536 26706978 29674420 35609304 44511630 47479072 53413956 59348840 66767445 71218608 89023260 106827912 118697680 133534890 142437216 178046520 213655824 237395360 267069780 356093040 427311648 534139560 712186080 1068279120 2136558240