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242060 = 225721319
BaseRepresentation
bin111011000110001100
3110022001012
4323012030
530221220
65104352
72025500
oct730614
9408035
10242060
11155955
12b80b8
1386240
1464300
154bac5
hex3b18c

242060 has 72 divisors (see below), whose sum is σ = 670320. Its totient is φ = 72576.

The previous prime is 242059. The next prime is 242069. The reversal of 242060 is 60242.

242060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (242069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12731 + ... + 12749.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2242060 is an apocalyptic number.

242060 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 242060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335160).

242060 is an abundant number, since it is smaller than the sum of its proper divisors (428260).

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

242060 is a wasteful number, since it uses less digits than its factorization.

242060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 242060 is about 491.9959349426. The cubic root of 242060 is about 62.3219465666.

The spelling of 242060 in words is "two hundred forty-two thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2470 2548 2660 3185 3458 3724 4655 4940 6370 6916 8645 9310 12103 12740 17290 18620 24206 34580 48412 60515 121030 242060