Search a number
-
+
242600660 = 22529616857
BaseRepresentation
bin11100111010111…
…00101011010100
3121220111101112122
432131130223110
5444101210120
640023435112
76004033361
oct1635345324
9556441478
10242600660
11114a3a515
12692b5a98
133b3517b3
1424311468
1516471a25
hexe75cad4

242600660 has 48 divisors (see below), whose sum is σ = 535746960. Its totient is φ = 92144640.

The previous prime is 242600651. The next prime is 242600671. The reversal of 242600660 is 66006242.

It can be written as a sum of positive squares in 8 ways, for example, as 103266244 + 139334416 = 10162^2 + 11804^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31952 + ... + 38808.

It is an arithmetic number, because the mean of its divisors is an integer number (11161395).

Almost surely, 2242600660 is an apocalyptic number.

242600660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242600660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267873480).

242600660 is an abundant number, since it is smaller than the sum of its proper divisors (293146300).

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

242600660 is a wasteful number, since it uses less digits than its factorization.

242600660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6956 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 242600660 is about 15575.6431648905. The cubic root of 242600660 is about 623.6831238215.

The spelling of 242600660 in words is "two hundred forty-two million, six hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 580 610 1220 1769 3538 6857 7076 8845 13714 17690 27428 34285 35380 68570 137140 198853 397706 418277 795412 836554 994265 1673108 1988530 2091385 3977060 4182770 8365540 12130033 24260066 48520132 60650165 121300330 242600660