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242066760 = 233513155171
BaseRepresentation
bin11100110110110…
…10010101001000
3121212111021011120
432123122111020
5443432114020
640004155240
75666350665
oct1633322510
9555437146
10242066760
11114705381
1269098b20
133b1c5790
1424212a6c
15163b8740
hexe6da548

242066760 has 64 divisors (see below), whose sum is σ = 782066880. Its totient is φ = 59585280.

The previous prime is 242066731. The next prime is 242066767. The reversal of 242066760 is 67660242.

242066760 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 (242066767) 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, 76026 + ... + 79145.

It is an arithmetic number, because the mean of its divisors is an integer number (12219795).

Almost surely, 2242066760 is an apocalyptic number.

242066760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242066760 is an abundant number, since it is smaller than the sum of its proper divisors (540000120).

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

242066760 is a wasteful number, since it uses less digits than its factorization.

242066760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155198 (or 155194 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 242066760 is about 15558.4947858075. The cubic root of 242066760 is about 623.2252671540.

The spelling of 242066760 in words is "two hundred forty-two million, sixty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 155171 310342 465513 620684 775855 931026 1241368 1551710 1862052 2017223 2327565 3103420 3724104 4034446 4655130 6051669 6206840 8068892 9310260 10086115 12103338 16137784 18620520 20172230 24206676 30258345 40344460 48413352 60516690 80688920 121033380 242066760