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242874135 = 32572234789
BaseRepresentation
bin11100111100111…
…11011100010111
3121221000021200100
432132133130113
5444133433020
640033345143
76006252600
oct1636373427
9557007610
10242874135
11115106a29
12694081b3
133b41910a
1424382da7
15164c7a90
hexe79f717

242874135 has 72 divisors (see below), whose sum is σ = 511112160. Its totient is φ = 106178688.

The previous prime is 242874113. The next prime is 242874157. The reversal of 242874135 is 531478242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242874113) and next prime (242874157).

It is not a de Polignac number, because 242874135 - 211 = 242872087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242874135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48321 + ... + 53109.

It is an arithmetic number, because the mean of its divisors is an integer number (7098780).

Almost surely, 2242874135 is an apocalyptic number.

242874135 is an abundant number, since it is smaller than the sum of its proper divisors (268238025).

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

242874135 is a wasteful number, since it uses less digits than its factorization.

242874135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4827 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 242874135 is about 15584.4196234573. The cubic root of 242874135 is about 623.9173876703.

The spelling of 242874135 in words is "two hundred forty-two million, eight hundred seventy-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 49 63 69 105 115 147 161 207 245 315 345 441 483 735 805 1035 1127 1449 2205 2415 3381 4789 5635 7245 10143 14367 16905 23945 33523 43101 50715 71835 100569 110147 167615 215505 234661 301707 330441 502845 550735 703983 771029 991323 1173305 1508535 1652205 2111949 2313087 3519915 3855145 4956615 5397203 6939261 10559745 11565435 16191609 26986015 34696305 48574827 80958045 242874135