Search a number
-
+
1040195965 = 51512814903
BaseRepresentation
bin111110000000000…
…010000101111101
32200111022102121111
4332000002011331
54112242232330
6251115002021
734530343204
oct7600020575
92614272544
101040195965
11494188696
12250439311
13137671c93
149c21223b
15614c132a
hex3e00217d

1040195965 has 16 divisors (see below), whose sum is σ = 1261230336. Its totient is φ = 823536000.

The previous prime is 1040195941. The next prime is 1040195987. The reversal of 1040195965 is 5695910401.

It is not a de Polignac number, because 1040195965 - 213 = 1040187773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 209704 + ... + 214606.

It is an arithmetic number, because the mean of its divisors is an integer number (78826896).

Almost surely, 21040195965 is an apocalyptic number.

It is an amenable number.

1040195965 is a deficient number, since it is larger than the sum of its proper divisors (221034371).

1040195965 is a wasteful number, since it uses less digits than its factorization.

1040195965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340.

The product of its (nonzero) digits is 48600, while the sum is 40.

The square root of 1040195965 is about 32252.0691584276. The cubic root of 1040195965 is about 1013.2230356514.

It can be divided in two parts, 104019596 and 5, that added together give a square (104019601 = 101992).

The spelling of 1040195965 in words is "one billion, forty million, one hundred ninety-five thousand, nine hundred sixty-five".

Divisors: 1 5 151 281 755 1405 4903 24515 42431 212155 740353 1377743 3701765 6888715 208039193 1040195965