Search a number
-
+
242128110 = 23572179689
BaseRepresentation
bin11100110111010…
…01010011101110
3121212121101022210
432123221103232
5443441044420
640005351250
76000024600
oct1633512356
9555541283
10242128110
11114747484
1269108526
133b217693
142422b170
15163cb9e0
hexe6e94ee

242128110 has 96 divisors (see below), whose sum is σ = 715819680. Its totient is φ = 52082688.

The previous prime is 242128091. The next prime is 242128171. The reversal of 242128110 is 11821242.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 20146 + ... + 29834.

It is an arithmetic number, because the mean of its divisors is an integer number (7456455).

Almost surely, 2242128110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242128110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357909840).

242128110 is an abundant number, since it is smaller than the sum of its proper divisors (473691570).

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

242128110 is a wasteful number, since it uses less digits than its factorization.

242128110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9730 (or 9723 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 242128110 is about 15560.4662526545. The cubic root of 242128110 is about 623.2779132924.

Adding to 242128110 its reverse (11821242), we get a palindrome (253949352).

The spelling of 242128110 in words is "two hundred forty-two million, one hundred twenty-eight thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 294 357 490 510 595 714 735 833 1190 1470 1666 1785 2499 3570 4165 4998 8330 9689 12495 19378 24990 29067 48445 58134 67823 96890 135646 145335 164713 203469 290670 329426 339115 406938 474761 494139 678230 823565 949522 988278 1017345 1152991 1424283 1647130 2034690 2305982 2373805 2470695 2848566 3458973 4747610 4941390 5764955 6917946 7121415 8070937 11529910 14242830 16141874 17294865 24212811 34589730 40354685 48425622 80709370 121064055 242128110