Search a number
-
+
242015424 = 2637180071
BaseRepresentation
bin11100110110011…
…01110011000000
3121212101122202020
432123031303000
5443423443144
640003121440
75666045220
oct1633156300
9555348666
10242015424
1111467a852
1269073280
133b1a82c1
14241dc080
15163a8419
hexe6cdcc0

242015424 has 56 divisors (see below), whose sum is σ = 731812608. Its totient is φ = 69146880.

The previous prime is 242015399. The next prime is 242015429. The reversal of 242015424 is 424510242.

It is a happy number.

242015424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a junction number, because it is equal to n+sod(n) for n = 242015394 and 242015403.

It is not an unprimeable number, because it can be changed into a prime (242015429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88692 + ... + 91379.

Almost surely, 2242015424 is an apocalyptic number.

242015424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242015424 is an abundant number, since it is smaller than the sum of its proper divisors (489797184).

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

242015424 is a wasteful number, since it uses less digits than its factorization.

242015424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180093 (or 180083 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 242015424 is about 15556.8449243412. The cubic root of 242015424 is about 623.1812074708.

Adding to 242015424 its reverse (424510242), we get a palindrome (666525666).

The spelling of 242015424 in words is "two hundred forty-two million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 180071 360142 540213 720284 1080426 1260497 1440568 2160852 2520994 2881136 3781491 4321704 5041988 5762272 7562982 8643408 10083976 11524544 15125964 17286816 20167952 30251928 34573632 40335904 60503856 80671808 121007712 242015424