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2027056640 = 2957113117
BaseRepresentation
bin111100011010010…
…0110111000000000
312020021021010221212
41320310212320000
513122411303030
6533050505252
7101142461060
oct17064467000
95207233855
102027056640
11950247724
12486a35228
13263c5b6cb
141532dd3a0
15bce59595
hex78d26e00

2027056640 has 80 divisors (see below), whose sum is σ = 5554546272. Its totient is φ = 694984704.

The previous prime is 2027056639. The next prime is 2027056651. The reversal of 2027056640 is 466507202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2027056597 and 2027056606.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 38639 + ... + 74478.

Almost surely, 22027056640 is an apocalyptic number.

2027056640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027056640 is an abundant number, since it is smaller than the sum of its proper divisors (3527489632).

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

2027056640 is an equidigital number, since it uses as much as digits as its factorization.

2027056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113147 (or 113131 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 2027056640 is about 45022.8457563491. The cubic root of 2027056640 is about 1265.5771585554.

The spelling of 2027056640 in words is "two billion, twenty-seven million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 113117 226234 452468 565585 791819 904936 1131170 1583638 1809872 2262340 3167276 3619744 3959095 4524680 6334552 7239488 7918190 9049360 12669104 14478976 15836380 18098720 25338208 28957952 31672760 36197440 50676416 57915904 63345520 72394880 101352832 126691040 144789760 202705664 253382080 289579520 405411328 506764160 1013528320 2027056640