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242806540 = 225831071367
BaseRepresentation
bin11100111100011…
…10111100001100
3121220212211221211
432132032330030
5444124302130
640032104204
76005551534
oct1636167414
9556784854
10242806540
11115070169
1269395064
133b3c4412
14243664c4
15164b2a2a
hexe78ef0c

242806540 has 48 divisors (see below), whose sum is σ = 521240832. Its totient is φ = 94986176.

The previous prime is 242806523. The next prime is 242806549. The reversal of 242806540 is 45608242.

It is not an unprimeable number, because it can be changed into a prime (242806549) 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, 176937 + ... + 178303.

It is an arithmetic number, because the mean of its divisors is an integer number (10859184).

Almost surely, 2242806540 is an apocalyptic number.

242806540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242806540 is an abundant number, since it is smaller than the sum of its proper divisors (278434292).

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

242806540 is a wasteful number, since it uses less digits than its factorization.

242806540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 242806540 is about 15582.2508001893. The cubic root of 242806540 is about 623.8595008847.

The spelling of 242806540 in words is "two hundred forty-two million, eight hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 83 107 166 214 332 415 428 535 830 1070 1367 1660 2140 2734 5468 6835 8881 13670 17762 27340 35524 44405 88810 113461 146269 177620 226922 292538 453844 567305 585076 731345 1134610 1462690 2269220 2925380 12140327 24280654 48561308 60701635 121403270 242806540