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242621020 = 225232811877
BaseRepresentation
bin11100111011000…
…01101001011100
3121220112102110201
432131201221130
5444102333040
640024113244
76004146625
oct1635415134
9556472421
10242621020
11114a53844
1269305824
133b35ab45
1424318a4c
1516477a9a
hexe761a5c

242621020 has 48 divisors (see below), whose sum is σ = 533832768. Its totient is φ = 92449280.

The previous prime is 242621017. The next prime is 242621023. The reversal of 242621020 is 20126242.

It is an interprime number because it is at equal distance from previous prime (242621017) and next prime (242621023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242621023) 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, 128322 + ... + 130198.

It is an arithmetic number, because the mean of its divisors is an integer number (11121516).

Almost surely, 2242621020 is an apocalyptic number.

242621020 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 242621020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266916384).

242621020 is an abundant number, since it is smaller than the sum of its proper divisors (291211748).

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

242621020 is a wasteful number, since it uses less digits than its factorization.

242621020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 242621020 is about 15576.2967357456. The cubic root of 242621020 is about 623.7005706457.

Adding to 242621020 its reverse (20126242), we get a palindrome (262747262).

The spelling of 242621020 in words is "two hundred forty-two million, six hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 1124 1405 1877 2810 3754 5620 6463 7508 9385 12926 18770 25852 32315 37540 43171 64630 86342 129260 172684 215855 431710 527437 863420 1054874 2109748 2637185 5274370 10548740 12131051 24262102 48524204 60655255 121310510 242621020