Search a number
-
+
291420018 = 23417105817
BaseRepresentation
bin10001010111101…
…011011101110010
3202022100200010000
4101113223131302
51044100420033
644530050430
710136013021
oct2127533562
9668320100
10291420018
1113a55419a
1281719a16
13484b56a6
142a9bc8b8
151a8b6a13
hex115eb772

291420018 has 40 divisors (see below), whose sum is σ = 691414812. Its totient is φ = 91425024.

The previous prime is 291419993. The next prime is 291420049. The reversal of 291420018 is 810024192.

It can be written as a sum of positive squares in 2 ways, for example, as 236021769 + 55398249 = 15363^2 + 7443^2 .

It is a super-2 number, since 2×2914200182 = 169851253782240648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 291419973 and 291420000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50155 + ... + 55662.

Almost surely, 2291420018 is an apocalyptic number.

291420018 is an abundant number, since it is smaller than the sum of its proper divisors (399994794).

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

291420018 is a wasteful number, since it uses less digits than its factorization.

291420018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105848 (or 105839 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 291420018 is about 17071.0286157572. The cubic root of 291420018 is about 662.9892097095.

The spelling of 291420018 in words is "two hundred ninety-one million, four hundred twenty thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 105817 211634 317451 634902 952353 1798889 1904706 2857059 3597778 5396667 5714118 8571177 10793334 16190001 17142354 32380002 48570003 97140006 145710009 291420018