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242663980 = 225131277349
BaseRepresentation
bin11100111011011…
…00001000101100
3121220121121101211
432131230020230
5444110221410
640025044204
76004416106
oct1635541054
9556547354
10242663980
11114a83049
1269326664
133b374570
142432a576
151648568a
hexe76c22c

242663980 has 48 divisors (see below), whose sum is σ = 553190400. Its totient is φ = 88881408.

The previous prime is 242663977. The next prime is 242663987. The reversal of 242663980 is 89366242.

242663980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242663987) 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, 29346 + ... + 36694.

It is an arithmetic number, because the mean of its divisors is an integer number (11524800).

Almost surely, 2242663980 is an apocalyptic number.

242663980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242663980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276595200).

242663980 is an abundant number, since it is smaller than the sum of its proper divisors (310526420).

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

242663980 is a wasteful number, since it uses less digits than its factorization.

242663980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498 (or 7496 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 242663980 is about 15577.6756931193. The cubic root of 242663980 is about 623.7373805852.

The spelling of 242663980 in words is "two hundred forty-two million, six hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 127 130 254 260 508 635 1270 1651 2540 3302 6604 7349 8255 14698 16510 29396 33020 36745 73490 95537 146980 191074 382148 477685 933323 955370 1866646 1910740 3733292 4666615 9333230 12133199 18666460 24266398 48532796 60665995 121331990 242663980