Search a number
-
+
242702016 = 26310911597
BaseRepresentation
bin11100111011101…
…01011011000000
3121220200112120120
432131311123000
5444112431031
640025540240
76004635024
oct1635653300
9556615516
10242702016
11114aa9687
1269344680
133b38897b
142433a384
1516491a96
hexe7756c0

242702016 has 56 divisors (see below), whose sum is σ = 648096240. Its totient is φ = 80151552.

The previous prime is 242701961. The next prime is 242702023. The reversal of 242702016 is 610207242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15130 + ... + 26726.

Almost surely, 2242702016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242702016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324048120).

242702016 is an abundant number, since it is smaller than the sum of its proper divisors (405394224).

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

242702016 is a wasteful number, since it uses less digits than its factorization.

242702016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11711 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 242702016 is about 15578.8964949383. The cubic root of 242702016 is about 623.7699678080.

Adding to 242702016 its reverse (610207242), we get a palindrome (852909258).

The spelling of 242702016 in words is "two hundred forty-two million, seven hundred two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 6976 10464 11597 20928 23194 34791 46388 69582 92776 139164 185552 278328 371104 556656 742208 1113312 1264073 2226624 2528146 3792219 5056292 7584438 10112584 15168876 20225168 30337752 40450336 60675504 80900672 121351008 242702016