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242321420 = 225113135531
BaseRepresentation
bin11100111000110…
…00100000001100
3121212222012111102
432130120200030
5444013241140
640013442232
76001461305
oct1634304014
9555865442
10242321420
11114869740
12691a0378
133b284673
142427b7ac
1516418e15
hexe71880c

242321420 has 48 divisors (see below), whose sum is σ = 573060096. Its totient is φ = 85272000.

The previous prime is 242321413. The next prime is 242321449. The reversal of 242321420 is 24123242.

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 = 242321392 and 242321401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10946 + ... + 24585.

It is an arithmetic number, because the mean of its divisors is an integer number (11938752).

Almost surely, 2242321420 is an apocalyptic number.

242321420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242321420 is an abundant number, since it is smaller than the sum of its proper divisors (330738676).

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

242321420 is a wasteful number, since it uses less digits than its factorization.

242321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35582 (or 35580 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 242321420 is about 15566.6765881482. The cubic root of 242321420 is about 623.4437398366.

Adding to 242321420 its reverse (24123242), we get a palindrome (266444662).

It can be divided in two parts, 24232 and 1420, that added together give a palindrome (25652).

The spelling of 242321420 in words is "two hundred forty-two million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 35531 71062 142124 177655 355310 390841 710620 781682 1101461 1563364 1954205 2202922 3908410 4405844 5507305 7816820 11014610 12116071 22029220 24232142 48464284 60580355 121160710 242321420