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242922960 = 243257157307
BaseRepresentation
bin11100111101010…
…11010111010000
3121221002202122200
432132223113100
5444142013320
640034403200
76006545130
oct1636532720
9557082580
10242922960
1111513a685
1269430500
133b4353c7
1424396ac0
15164d7290
hexe7ab5d0

242922960 has 240 divisors, whose sum is σ = 941356416. Its totient is φ = 54991872.

The previous prime is 242922949. The next prime is 242922973. The reversal of 242922960 is 69229242.

It is a happy number.

242922960 is a `hidden beast` number, since 2 + 429 + 229 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 791127 + ... + 791433.

Almost surely, 2242922960 is an apocalyptic number.

242922960 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 242922960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470678208).

242922960 is an abundant number, since it is smaller than the sum of its proper divisors (698433456).

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

242922960 is a wasteful number, since it uses less digits than its factorization.

242922960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 242922960 is about 15585.9860130824. The cubic root of 242922960 is about 623.9591935840.

The spelling of 242922960 in words is "two hundred forty-two million, nine hundred twenty-two thousand, nine hundred sixty".