Search a number
-
+
42124130 = 2517372181
BaseRepresentation
bin1010000010110…
…0001101100010
32221021010102222
42200230031202
541240433010
64102511042
71021022606
oct240541542
987233388
1042124130
1121861534
1212135482
13895b629
145847506
153a71355
hex282c362

42124130 has 48 divisors (see below), whose sum is σ = 82967976. Its totient is φ = 15344640.

The previous prime is 42124127. The next prime is 42124141. The reversal of 42124130 is 3142124.

It can be written as a sum of positive squares in 12 ways, for example, as 12823561 + 29300569 = 3581^2 + 5413^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 42124099 and 42124108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232640 + ... + 232820.

Almost surely, 242124130 is an apocalyptic number.

42124130 is a deficient number, since it is larger than the sum of its proper divisors (40843846).

42124130 is a wasteful number, since it uses less digits than its factorization.

42124130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42124130 is about 6490.3104702318. The cubic root of 42124130 is about 347.9447714795.

Adding to 42124130 its reverse (3142124), we get a palindrome (45266254).

The spelling of 42124130 in words is "forty-two million, one hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 5 10 17 34 37 74 85 170 181 185 362 370 629 905 1258 1369 1810 2738 3077 3145 6154 6290 6697 6845 13394 13690 15385 23273 30770 33485 46546 66970 113849 116365 227698 232730 247789 495578 569245 1138490 1238945 2477890 4212413 8424826 21062065 42124130