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2055288780 = 22325171036521
BaseRepresentation
bin111101010000001…
…0011011111001100
312022020101111011200
41322200103133030
513202123220110
6535535545500
7101634444366
oct17240233714
95266344150
102055288780
1196517a976
1249438b290
13269a64b0c
14156d6bd36
15c06846c0
hex7a8137cc

2055288780 has 144 divisors (see below), whose sum is σ = 6666214464. Its totient is φ = 510750720.

The previous prime is 2055288773. The next prime is 2055288791. The reversal of 2055288780 is 878825502.

2055288780 is a `hidden beast` number, since 20 + 552 + 8 + 8 + 78 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311920 + ... + 318440.

It is an arithmetic number, because the mean of its divisors is an integer number (46293156).

Almost surely, 22055288780 is an apocalyptic number.

2055288780 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 2055288780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333107232).

2055288780 is an abundant number, since it is smaller than the sum of its proper divisors (4610925684).

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

2055288780 is a wasteful number, since it uses less digits than its factorization.

2055288780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6656 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2055288780 is about 45335.2928743159. The cubic root of 2055288780 is about 1271.4255965327.

The spelling of 2055288780 in words is "two billion, fifty-five million, two hundred eighty-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 103 153 170 180 204 206 255 306 309 340 412 510 515 612 618 765 927 1020 1030 1236 1530 1545 1751 1854 2060 3060 3090 3502 3708 4635 5253 6180 6521 7004 8755 9270 10506 13042 15759 17510 18540 19563 21012 26084 26265 31518 32605 35020 39126 52530 58689 63036 65210 78252 78795 97815 105060 110857 117378 130420 157590 195630 221714 234756 293445 315180 332571 391260 443428 554285 586890 665142 671663 997713 1108570 1173780 1330284 1343326 1662855 1995426 2014989 2217140 2686652 3325710 3358315 3990852 4029978 4988565 6044967 6651420 6716630 8059956 9977130 10074945 11418271 12089934 13433260 19954260 20149890 22836542 24179868 30224835 34254813 40299780 45673084 57091355 60449670 68509626 102764439 114182710 120899340 137019252 171274065 205528878 228365420 342548130 411057756 513822195 685096260 1027644390 2055288780