Search a number
-
+
1012068180 = 223255622601
BaseRepresentation
bin111100010100101…
…110111101010100
32121112101101112200
4330110232331110
54033042140210
6244232044500
734036303044
oct7424567524
92545341480
101012068180
1147a316892
12242b33730
131318a4216
14985ad724
155dcb70c0
hex3c52ef54

1012068180 has 36 divisors (see below), whose sum is σ = 3069940692. Its totient is φ = 269884800.

The previous prime is 1012068163. The next prime is 1012068203. The reversal of 1012068180 is 818602101.

It can be written as a sum of positive squares in 2 ways, for example, as 203575824 + 808492356 = 14268^2 + 28434^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2811121 + ... + 2811480.

Almost surely, 21012068180 is an apocalyptic number.

1012068180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012068180 is an abundant number, since it is smaller than the sum of its proper divisors (2057872512).

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

1012068180 is a wasteful number, since it uses less digits than its factorization.

1012068180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622616 (or 5622611 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1012068180 is about 31813.0190330940. The cubic root of 1012068180 is about 1004.0066519667.

The spelling of 1012068180 in words is "one billion, twelve million, sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5622601 11245202 16867803 22490404 28113005 33735606 50603409 56226010 67471212 84339015 101206818 112452020 168678030 202413636 253017045 337356060 506034090 1012068180