Search a number
-
+
135797819 = 1723536553
BaseRepresentation
bin10000001100000…
…01110000111011
3100110112020120212
420012001300323
5234231012234
621250341335
73236156003
oct1006016073
9313466525
10135797819
116a721a03
123958a84b
1322198751
141406d003
15bdc65ce
hex8181c3b

135797819 has 16 divisors (see below), whose sum is σ = 152891712. Its totient is φ = 119927808.

The previous prime is 135797803. The next prime is 135797821. The reversal of 135797819 is 918797531.

It is a cyclic number.

It is not a de Polignac number, because 135797819 - 24 = 135797803 is a prime.

It is a super-2 number, since 2×1357978192 = 36882095290313522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135797869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17447 + ... + 23999.

It is an arithmetic number, because the mean of its divisors is an integer number (9555732).

Almost surely, 2135797819 is an apocalyptic number.

135797819 is a deficient number, since it is larger than the sum of its proper divisors (17093893).

135797819 is a wasteful number, since it uses less digits than its factorization.

135797819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646.

The product of its digits is 476280, while the sum is 50.

The square root of 135797819 is about 11653.2321267535. The cubic root of 135797819 is about 514.0013563127.

The spelling of 135797819 in words is "one hundred thirty-five million, seven hundred ninety-seven thousand, eight hundred nineteen".

Divisors: 1 17 23 53 391 901 1219 6553 20723 111401 150719 347309 2562223 5904253 7988107 135797819