Search a number
-
+
2027868160 = 212599017
BaseRepresentation
bin111100011011110…
…1101000000000000
312020022210101011011
41320313231000000
513123113240120
6533120130304
7101152411033
oct17067550000
95208711134
102027868160
119507513aa
12487166994
13264183bb6
1415347101a
15bd069c5a
hex78ded000

2027868160 has 52 divisors (see below), whose sum is σ = 4866338628. Its totient is φ = 811139072.

The previous prime is 2027868151. The next prime is 2027868187. The reversal of 2027868160 is 618687202.

It can be written as a sum of positive squares in 2 ways, for example, as 211062784 + 1816805376 = 14528^2 + 42624^2 .

It is a super-2 number, since 2×20278681602 = 8224498548683571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 3 ways as a sum of consecutive naturals, for example, 29029 + ... + 69988.

Almost surely, 22027868160 is an apocalyptic number.

2027868160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2027868160 is an abundant number, since it is smaller than the sum of its proper divisors (2838470468).

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

2027868160 is an frugal number, since it uses more digits than its factorization.

2027868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99046 (or 99024 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 2027868160 is about 45031.8571680094. The cubic root of 2027868160 is about 1265.7460247707.

The spelling of 2027868160 in words is "two billion, twenty-seven million, eight hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 10240 20480 99017 198034 396068 495085 792136 990170 1584272 1980340 3168544 3960680 6337088 7921360 12674176 15842720 25348352 31685440 50696704 63370880 101393408 126741760 202786816 253483520 405573632 506967040 1013934080 2027868160