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242355960 = 2332572111249
BaseRepresentation
bin11100111001000…
…00111011111000
3121220000221212200
432130200323320
5444020342320
640014310200
76001664100
oct1634407370
9556027780
10242355960
11114892690
12691b8360
133b2972c2
142428a200
1516424290
hexe720ef8

242355960 has 288 divisors, whose sum is σ = 1000350000. Its totient is φ = 50319360.

The previous prime is 242355943. The next prime is 242355977. The reversal of 242355960 is 69553242.

242355960 is a `hidden beast` number, since 2 + 42 + 3 + 559 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (242355943) and next prime (242355977).

It is a super-2 number, since 2×2423559602 = 117472822695043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193416 + ... + 194664.

Almost surely, 2242355960 is an apocalyptic number.

242355960 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 242355960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500175000).

242355960 is an abundant number, since it is smaller than the sum of its proper divisors (757994040).

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

242355960 is a wasteful number, since it uses less digits than its factorization.

242355960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 242355960 is about 15567.7859697518. The cubic root of 242355960 is about 623.4733598948.

The spelling of 242355960 in words is "two hundred forty-two million, three hundred fifty-five thousand, nine hundred sixty".