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242120520 = 23325672557
BaseRepresentation
bin11100110111001…
…11011101001000
3121212120222220200
432123213131020
5443440324040
640005252200
75666663505
oct1633473510
9555528820
10242120520
11114741804
1269104060
133b2140a5
14242284ac
15163c9630
hexe6e7748

242120520 has 48 divisors (see below), whose sum is σ = 786892860. Its totient is φ = 64565376.

The previous prime is 242120503. The next prime is 242120531. The reversal of 242120520 is 25021242.

242120520 is a `hidden beast` number, since 24 + 2 + 120 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239816196 + 2304324 = 15486^2 + 1518^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 242120493 and 242120502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335919 + ... + 336638.

Almost surely, 2242120520 is an apocalyptic number.

242120520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242120520 is an abundant number, since it is smaller than the sum of its proper divisors (544772340).

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

242120520 is a wasteful number, since it uses less digits than its factorization.

242120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672574 (or 672567 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242120520 is about 15560.2223634497. Note that the first 3 decimals coincide. The cubic root of 242120520 is about 623.2714005848.

Adding to 242120520 its reverse (25021242), we get a palindrome (267141762).

The spelling of 242120520 in words is "two hundred forty-two million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 672557 1345114 2017671 2690228 3362785 4035342 5380456 6053013 6725570 8070684 10088355 12106026 13451140 16141368 20176710 24212052 26902280 30265065 40353420 48424104 60530130 80706840 121060260 242120520