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242515320 = 23352020961
BaseRepresentation
bin11100111010001…
…11110101111000
3121220100001110220
432131013311320
5444040442240
640021540040
76003226515
oct1635076570
9556301426
10242515320
11114991393
1269274620
133b3219b8
14242cc30c
15164565d0
hexe747d78

242515320 has 32 divisors (see below), whose sum is σ = 727546320. Its totient is φ = 64670720.

The previous prime is 242515307. The next prime is 242515331. The reversal of 242515320 is 23515242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1010361 + ... + 1010600.

Almost surely, 2242515320 is an apocalyptic number.

242515320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242515320 is an abundant number, since it is smaller than the sum of its proper divisors (485031000).

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

242515320 is a wasteful number, since it uses less digits than its factorization.

242515320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020975 (or 2020971 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 242515320 is about 15572.9033901839. The cubic root of 242515320 is about 623.6099839270.

The spelling of 242515320 in words is "two hundred forty-two million, five hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2020961 4041922 6062883 8083844 10104805 12125766 16167688 20209610 24251532 30314415 40419220 48503064 60628830 80838440 121257660 242515320