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242770560 = 2735126443
BaseRepresentation
bin11100111100001…
…10001010000000
3121220211000121020
432132012022000
5444122124220
640031225440
76005341614
oct1636061200
9556730536
10242770560
1111504612a
1269378280
133b3b0c26
1424357344
15164a7040
hexe786280

242770560 has 64 divisors (see below), whose sum is σ = 773837280. Its totient is φ = 64738304.

The previous prime is 242770559. The next prime is 242770573. The reversal of 242770560 is 65077242.

242770560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61302 + ... + 65141.

Almost surely, 2242770560 is an apocalyptic number.

242770560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242770560 is an abundant number, since it is smaller than the sum of its proper divisors (531066720).

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

242770560 is a wasteful number, since it uses less digits than its factorization.

242770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126465 (or 126453 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 242770560 is about 15581.0962387118. The cubic root of 242770560 is about 623.8286840684.

The spelling of 242770560 in words is "two hundred forty-two million, seven hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 126443 252886 379329 505772 632215 758658 1011544 1264430 1517316 1896645 2023088 2528860 3034632 3793290 4046176 5057720 6069264 7586580 8092352 10115440 12138528 15173160 16184704 20230880 24277056 30346320 40461760 48554112 60692640 80923520 121385280 242770560