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242460 = 22335449
BaseRepresentation
bin111011001100011100
3110022121000
4323030130
530224320
65110300
72026611
oct731434
9408530
10242460
11156189
12b8390
138648a
1464508
154bc90
hex3b31c

242460 has 48 divisors (see below), whose sum is σ = 756000. Its totient is φ = 64512.

The previous prime is 242453. The next prime is 242467. The reversal of 242460 is 64242.

It is an interprime number because it is at equal distance from previous prime (242453) and next prime (242467).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242467) 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, 316 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2242460 is an apocalyptic number.

242460 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 242460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

242460 is an abundant number, since it is smaller than the sum of its proper divisors (513540).

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

242460 is a wasteful number, since it uses less digits than its factorization.

242460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242460 is about 492.4022745683. The cubic root of 242460 is about 62.3562563242.

The spelling of 242460 in words is "two hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 449 540 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 12123 13470 16164 20205 24246 26940 40410 48492 60615 80820 121230 242460