Search a number
-
+
242072149 = 11311315419
BaseRepresentation
bin11100110110110…
…11101001010101
3121212111112120011
432123123221111
5443432302044
640004240221
75666402464
oct1633335125
9555445504
10242072149
11114709430
12690a0071
133b1c8077
14242149db
15163ba134
hexe6dba55

242072149 has 16 divisors (see below), whose sum is σ = 274728960. Its totient is φ = 211302000.

The previous prime is 242072143. The next prime is 242072183. The reversal of 242072149 is 941270242.

It is a cyclic number.

It is not a de Polignac number, because 242072149 - 27 = 242072021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 242072149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242072143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 41962 + ... + 47380.

It is an arithmetic number, because the mean of its divisors is an integer number (17170560).

Almost surely, 2242072149 is an apocalyptic number.

It is an amenable number.

242072149 is a deficient number, since it is larger than the sum of its proper divisors (32656811).

242072149 is a wasteful number, since it uses less digits than its factorization.

242072149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 242072149 is about 15558.6679699774. The cubic root of 242072149 is about 623.2298919608.

The spelling of 242072149 in words is "two hundred forty-two million, seventy-two thousand, one hundred forty-nine".

Divisors: 1 11 31 131 341 1441 4061 5419 44671 59609 167989 709889 1847879 7808779 22006559 242072149