Search a number
-
+
1642144660 = 225136315941
BaseRepresentation
bin110000111100001…
…0010001110010100
311020102222120222121
41201320102032110
511330342112120
6430540505324
755456666522
oct14170221624
94212876877
101642144660
11772a47652
12399b4b244
132022a0840
14118145312
15992765aa
hex61e12394

1642144660 has 24 divisors (see below), whose sum is σ = 3713773896. Its totient is φ = 606330240.

The previous prime is 1642144657. The next prime is 1642144667. The reversal of 1642144660 is 664412461.

It can be written as a sum of positive squares in 4 ways, for example, as 73034116 + 1569110544 = 8546^2 + 39612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642144667) by changing a digit.

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, 3157711 + ... + 3158230.

It is an arithmetic number, because the mean of its divisors is an integer number (154740579).

Almost surely, 21642144660 is an apocalyptic number.

1642144660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1642144660 is an abundant number, since it is smaller than the sum of its proper divisors (2071629236).

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

1642144660 is a wasteful number, since it uses less digits than its factorization.

1642144660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315963 (or 6315961 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1642144660 is about 40523.3841133734. The cubic root of 1642144660 is about 1179.7875371570.

The spelling of 1642144660 in words is "one billion, six hundred forty-two million, one hundred forty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 6315941 12631882 25263764 31579705 63159410 82107233 126318820 164214466 328428932 410536165 821072330 1642144660