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242659040 = 25513116663
BaseRepresentation
bin11100111011010…
…10111011100000
3121220121100121212
432131222323200
5444110042130
640025005252
76004365521
oct1635527340
9556540555
10242659040
11114a7a368
1269323828
133b372240
1424328848
1516483e95
hexe76aee0

242659040 has 48 divisors (see below), whose sum is σ = 617385888. Its totient is φ = 89596416.

The previous prime is 242659031. The next prime is 242659057. The reversal of 242659040 is 40956242.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 242658988 and 242659006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56252 + ... + 60411.

It is an arithmetic number, because the mean of its divisors is an integer number (12862206).

Almost surely, 2242659040 is an apocalyptic number.

242659040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242659040 is an abundant number, since it is smaller than the sum of its proper divisors (374726848).

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

242659040 is a wasteful number, since it uses less digits than its factorization.

242659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116691 (or 116683 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 242659040 is about 15577.5171320721. The cubic root of 242659040 is about 623.7331480060.

The spelling of 242659040 in words is "two hundred forty-two million, six hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 116663 233326 466652 583315 933304 1166630 1516619 1866608 2333260 3033238 3733216 4666520 6066476 7583095 9333040 12132952 15166190 18666080 24265904 30332380 48531808 60664760 121329520 242659040