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242420 = 225172331
BaseRepresentation
bin111011001011110100
3110022112112
4323023310
530224140
65110152
72026523
oct731364
9408475
10242420
11156152
12b8358
1386459
14644ba
154bc65
hex3b2f4

242420 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 84480.

The previous prime is 242419. The next prime is 242441. The reversal of 242420 is 24242.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 242395 and 242404.

It is a congruent number.

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, 7805 + ... + 7835.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2242420 is an apocalyptic number.

242420 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 242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

242420 is an abundant number, since it is smaller than the sum of its proper divisors (338188).

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

242420 is a wasteful number, since it uses less digits than its factorization.

242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 242420 is about 492.3616556963. The cubic root of 242420 is about 62.3528270473.

Adding to 242420 its reverse (24242), we get a palindrome (266662).

The spelling of 242420 in words is "two hundred forty-two thousand, four hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 10 17 20 23 31 34 46 62 68 85 92 115 124 155 170 230 310 340 391 460 527 620 713 782 1054 1426 1564 1955 2108 2635 2852 3565 3910 5270 7130 7820 10540 12121 14260 24242 48484 60605 121210 242420