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242787920 = 24513272287
BaseRepresentation
bin11100111100010…
…10011001010000
3121220211220102012
432132022121100
5444123203140
640031442052
76005443334
oct1636123120
9556756365
10242787920
11115058181
1269386328
133b3b8abb
142435d7c4
15164ac265
hexe78a650

242787920 has 40 divisors (see below), whose sum is σ = 565154304. Its totient is φ = 96999552.

The previous prime is 242787899. The next prime is 242787949. The reversal of 242787920 is 29787242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105017 + ... + 107303.

Almost surely, 2242787920 is an apocalyptic number.

242787920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242787920 is an abundant number, since it is smaller than the sum of its proper divisors (322366384).

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

242787920 is a wasteful number, since it uses less digits than its factorization.

242787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 242787920 is about 15581.6533140742. The cubic root of 242787920 is about 623.8435532626.

The spelling of 242787920 in words is "two hundred forty-two million, seven hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1327 2287 2654 4574 5308 6635 9148 10616 11435 13270 18296 21232 22870 26540 36592 45740 53080 91480 106160 182960 3034849 6069698 12139396 15174245 24278792 30348490 48557584 60696980 121393960 242787920