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242532620 = 2251110710303
BaseRepresentation
bin11100111010011…
…00000100001100
3121220100221012122
432131030010030
5444042020440
640022152112
76003331121
oct1635140414
9556327178
10242532620
111149a3390
1269282638
133b329835
14242d4748
151645b7b5
hexe74c10c

242532620 has 48 divisors (see below), whose sum is σ = 560867328. Its totient is φ = 87360960.

The previous prime is 242532581. The next prime is 242532629. The reversal of 242532620 is 26235242.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242532620.

It is not an unprimeable number, because it can be changed into a prime (242532629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18389 + ... + 28691.

It is an arithmetic number, because the mean of its divisors is an integer number (11684736).

Almost surely, 2242532620 is an apocalyptic number.

242532620 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 242532620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280433664).

242532620 is an abundant number, since it is smaller than the sum of its proper divisors (318334708).

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

242532620 is a wasteful number, since it uses less digits than its factorization.

242532620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10430 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 242532620 is about 15573.4588322569. The cubic root of 242532620 is about 623.6248121259.

Adding to 242532620 its reverse (26235242), we get a palindrome (268767862).

The spelling of 242532620 in words is "two hundred forty-two million, five hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 10303 11770 20606 23540 41212 51515 103030 113333 206060 226666 453332 566665 1102421 1133330 2204842 2266660 4409684 5512105 11024210 12126631 22048420 24253262 48506524 60633155 121266310 242532620