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242620240 = 24510692837
BaseRepresentation
bin11100111011000…
…01011101010000
3121220112101101211
432131201131100
5444102321430
640024105504
76004144432
oct1635413520
9556471354
10242620240
11114a531a5
1269305294
133b35a695
1424318652
151647772a
hexe761750

242620240 has 40 divisors (see below), whose sum is σ = 564818760. Its totient is φ = 96923136.

The previous prime is 242620237. The next prime is 242620267. The reversal of 242620240 is 42026242.

242620240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 242611776 = 92^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 84102 + ... + 86938.

It is an arithmetic number, because the mean of its divisors is an integer number (14120469).

Almost surely, 2242620240 is an apocalyptic number.

242620240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242620240 is an abundant number, since it is smaller than the sum of its proper divisors (322198520).

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

242620240 is a wasteful number, since it uses less digits than its factorization.

242620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 242620240 is about 15576.2716976817. The cubic root of 242620240 is about 623.6999022686.

Adding to 242620240 its reverse (42026242), we get a palindrome (284646482).

It can be divided in two parts, 2426202 and 40, that added together give a palindrome (2426242).

The spelling of 242620240 in words is "two hundred forty-two million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1069 2138 2837 4276 5345 5674 8552 10690 11348 14185 17104 21380 22696 28370 42760 45392 56740 85520 113480 226960 3032753 6065506 12131012 15163765 24262024 30327530 48524048 60655060 121310120 242620240