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242178920 = 23514094297
BaseRepresentation
bin11100110111101…
…01101101101000
3121212200222000122
432123311231220
5443444211140
640010422412
76000325664
oct1633655550
9555628018
10242178920
11114781675
1269131a08
133b234849
14242418a4
15163dbab5
hexe6f5b68

242178920 has 32 divisors (see below), whose sum is σ = 545416200. Its totient is φ = 96780288.

The previous prime is 242178919. The next prime is 242178929. The reversal of 242178920 is 29871242.

It can be written as a sum of positive squares in 4 ways, for example, as 121925764 + 120253156 = 11042^2 + 10966^2 .

It is not an unprimeable number, because it can be changed into a prime (242178929) 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 7 ways as a sum of consecutive naturals, for example, 54212 + ... + 58508.

Almost surely, 2242178920 is an apocalyptic number.

242178920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242178920 is an abundant number, since it is smaller than the sum of its proper divisors (303237280).

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

242178920 is a wasteful number, since it uses less digits than its factorization.

242178920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5717 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 242178920 is about 15562.0988301707. The cubic root of 242178920 is about 623.3215080322.

The spelling of 242178920 in words is "two hundred forty-two million, one hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1409 2818 4297 5636 7045 8594 11272 14090 17188 21485 28180 34376 42970 56360 85940 171880 6054473 12108946 24217892 30272365 48435784 60544730 121089460 242178920