Search a number
-
+
1915965 = 32542577
BaseRepresentation
bin111010011110000111101
310121100012200
413103300331
5442302330
6105022113
722166622
oct7236075
93540180
101915965
111099547
12784939
1352110c
1437c349
1527ca60
hex1d3c3d

1915965 has 12 divisors (see below), whose sum is σ = 3321084. Its totient is φ = 1021824.

The previous prime is 1915961. The next prime is 1915981. The reversal of 1915965 is 5695191.

It can be written as a sum of positive squares in 2 ways, for example, as 1279161 + 636804 = 1131^2 + 798^2 .

It is not a de Polignac number, because 1915965 - 22 = 1915961 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1915961) 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 11 ways as a sum of consecutive naturals, for example, 21244 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (276757).

21915965 is an apocalyptic number.

1915965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1915965 is a deficient number, since it is larger than the sum of its proper divisors (1405119).

1915965 is a wasteful number, since it uses less digits than its factorization.

1915965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42588 (or 42585 counting only the distinct ones).

The product of its digits is 12150, while the sum is 36.

The square root of 1915965 is about 1384.1838750686. The cubic root of 1915965 is about 124.2021719302.

The spelling of 1915965 in words is "one million, nine hundred fifteen thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 42577 127731 212885 383193 638655 1915965