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2036042730 = 23452986677
BaseRepresentation
bin111100101011011…
…1000101111101010
312020220011200120000
41321112320233222
513132211331410
6534011243430
7101312035431
oct17126705752
95226150500
102036042730
11955325047
12489a49576
13265a86917
1415459c118
15bdb31dc0
hex795b8bea

2036042730 has 80 divisors (see below), whose sum is σ = 5663540520. Its totient is φ = 524216448.

The previous prime is 2036042713. The next prime is 2036042803. The reversal of 2036042730 is 372406302.

2036042730 is a `hidden beast` number, since 2 + 0 + 3 + 604 + 27 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1750669281 + 285373449 = 41841^2 + 16893^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2036042694 and 2036042703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19849 + ... + 66828.

Almost surely, 22036042730 is an apocalyptic number.

2036042730 is an abundant number, since it is smaller than the sum of its proper divisors (3627497790).

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

2036042730 is a wasteful number, since it uses less digits than its factorization.

2036042730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86725 (or 86716 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2036042730 is about 45122.5301817174. The cubic root of 2036042730 is about 1267.4445338286. Note that the first 3 decimals are identical.

The spelling of 2036042730 in words is "two billion, thirty-six million, forty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1305 1566 2349 2610 3915 4698 7830 11745 23490 86677 173354 260031 433385 520062 780093 866770 1300155 1560186 2340279 2513633 2600310 3900465 4680558 5027266 7020837 7540899 7800930 11701395 12568165 14041674 15081798 22622697 23402790 25136330 35104185 37704495 45245394 67868091 70208370 75408990 113113485 135736182 203604273 226226970 339340455 407208546 678680910 1018021365 2036042730