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242689080 = 23353165239
BaseRepresentation
bin11100111011100…
…10010000111000
3121220122212211110
432131302100320
5444112022310
640025400320
76004552224
oct1635622070
9556585743
10242689080
11114a9a997
12693390a0
133b382b0a
1424335784
151648cd20
hexe772438

242689080 has 64 divisors (see below), whose sum is σ = 751564800. Its totient is φ = 62628480.

The previous prime is 242689079. The next prime is 242689087. The reversal of 242689080 is 80986242.

242689080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242689087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28900 + ... + 36339.

It is an arithmetic number, because the mean of its divisors is an integer number (11743200).

Almost surely, 2242689080 is an apocalyptic number.

242689080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242689080 is an abundant number, since it is smaller than the sum of its proper divisors (508875720).

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

242689080 is a wasteful number, since it uses less digits than its factorization.

242689080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65284 (or 65280 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 242689080 is about 15578.4813123745. The cubic root of 242689080 is about 623.7588853130.

The spelling of 242689080 in words is "two hundred forty-two million, six hundred eighty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 65239 130478 195717 260956 326195 391434 521912 652390 782868 978585 1304780 1565736 1957170 2022409 2609560 3914340 4044818 6067227 7828680 8089636 10112045 12134454 16179272 20224090 24268908 30336135 40448180 48537816 60672270 80896360 121344540 242689080