Search a number
-
+
1916600841 = 32145932
BaseRepresentation
bin111001000111101…
…0000001000001001
311221120102102002100
41302033100020021
512411122211331
6514103224013
765331560361
oct16217201011
94846372070
101916600841
118a3964641
12455a48009
132470c6a4c
141427899a1
15b33dbae6
hex723d0209

1916600841 has 9 divisors (see below), whose sum is σ = 2768613159. Its totient is φ = 1277646336.

The previous prime is 1916600809. The next prime is 1916600843. The reversal of 1916600841 is 1480066191.

It is a happy number.

The square root of 1916600841 is 43779.

It is a perfect power (a square), and thus also a powerful number.

1916600841 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 600 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160655625 + 1755945216 = 12675^2 + 41904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1916600841 - 25 = 1916600809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1916600796 and 1916600805.

It is not an unprimeable number, because it can be changed into a prime (1916600843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124041 + ... + 138633.

Almost surely, 21916600841 is an apocalyptic number.

1916600841 is the 43779-th square number.

1916600841 is the 21890-th centered octagonal number.

It is an amenable number.

1916600841 is a deficient number, since it is larger than the sum of its proper divisors (852012318).

1916600841 is an frugal number, since it uses more digits than its factorization.

1916600841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29192 (or 14596 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 1916600841 is about 1242.1590984625.

Multiplying 1916600841 by its sum of digits (36), we get a square (68997630276 = 2626742).

The spelling of 1916600841 in words is "one billion, nine hundred sixteen million, six hundred thousand, eight hundred forty-one".

Divisors: 1 3 9 14593 43779 131337 212955649 638866947 1916600841