Search a number
-
+
1667000020 = 225742128283
BaseRepresentation
bin110001101011100…
…0110011011010100
311022011202101010111
41203113012123110
511403223000040
6433225332404
756211160240
oct14327063324
94264671114
101667000020
11785a83874
123a6337104
13207493c5a
1411b575420
159b535dea
hex635c66d4

1667000020 has 48 divisors (see below), whose sum is σ = 4010444928. Its totient is φ = 570165120.

The previous prime is 1666999951. The next prime is 1667000033. The reversal of 1667000020 is 200007661.

It is a junction number, because it is equal to n+sod(n) for n = 1666999955 and 1667000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44799 + ... + 73081.

It is an arithmetic number, because the mean of its divisors is an integer number (83550936).

Almost surely, 21667000020 is an apocalyptic number.

1667000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1667000020 is an abundant number, since it is smaller than the sum of its proper divisors (2343444908).

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

1667000020 is a wasteful number, since it uses less digits than its factorization.

1667000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28720 (or 28718 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 1667000020 is about 40828.9115701117. The cubic root of 1667000020 is about 1185.7101430431.

Adding to 1667000020 its reverse (200007661), we get a palindrome (1867007681).

The spelling of 1667000020 in words is "one billion, six hundred sixty-seven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 421 842 1684 2105 2947 4210 5894 8420 11788 14735 28283 29470 56566 58940 113132 141415 197981 282830 395962 565660 791924 989905 1979810 3959620 11907143 23814286 47628572 59535715 83350001 119071430 166700002 238142860 333400004 416750005 833500010 1667000020