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242020410 = 235311971321
BaseRepresentation
bin11100110110011…
…11000000111010
3121212101220120220
432123033000322
5443424123120
640003200510
75666065602
oct1633170072
9555356526
10242020410
11114683575
1269076136
133b1aa658
14241ddc02
15163a9b40
hexe6cf03a

242020410 has 64 divisors (see below), whose sum is σ = 603085824. Its totient is φ = 62092800.

The previous prime is 242020409. The next prime is 242020451. The reversal of 242020410 is 14020242.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242020410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182550 + ... + 183870.

It is an arithmetic number, because the mean of its divisors is an integer number (9423216).

Almost surely, 2242020410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242020410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301542912).

242020410 is an abundant number, since it is smaller than the sum of its proper divisors (361065414).

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

242020410 is a wasteful number, since it uses less digits than its factorization.

242020410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 242020410 is about 15557.0051745186. The cubic root of 242020410 is about 623.1854870330.

Adding to 242020410 its reverse (14020242), we get a palindrome (256040652).

The spelling of 242020410 in words is "two hundred forty-two million, twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 197 310 394 465 591 930 985 1182 1321 1970 2642 2955 3963 5910 6107 6605 7926 12214 13210 18321 19815 30535 36642 39630 40951 61070 81902 91605 122853 183210 204755 245706 260237 409510 520474 614265 780711 1228530 1301185 1561422 2602370 3903555 7807110 8067347 16134694 24202041 40336735 48404082 80673470 121010205 242020410