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242420420 = 225119411171
BaseRepresentation
bin11100111001100…
…00101011000100
3121220011020022002
432130300223010
5444024423140
640015524432
76002353034
oct1634605304
9556136262
10242420420
11114927060
1269229718
133b2ba748
14242a58c4
1516438415
hexe730ac4

242420420 has 48 divisors (see below), whose sum is σ = 556428096. Its totient is φ = 87984000.

The previous prime is 242420419. The next prime is 242420441. The reversal of 242420420 is 24024242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242420392 and 242420401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206435 + ... + 207605.

It is an arithmetic number, because the mean of its divisors is an integer number (11592252).

Almost surely, 2242420420 is an apocalyptic number.

242420420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242420420 is an abundant number, since it is smaller than the sum of its proper divisors (314007676).

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

242420420 is a wasteful number, since it uses less digits than its factorization.

242420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 242420420 is about 15569.8561329256. The cubic root of 242420420 is about 623.5286305667.

Adding to 242420420 its reverse (24024242), we get a palindrome (266444662).

The spelling of 242420420 in words is "two hundred forty-two million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 941 1171 1882 2342 3764 4684 4705 5855 9410 10351 11710 12881 18820 20702 23420 25762 41404 51524 51755 64405 103510 128810 207020 257620 1101911 2203822 4407644 5509555 11019110 12121021 22038220 24242042 48484084 60605105 121210210 242420420