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242900 = 22527347
BaseRepresentation
bin111011010011010100
3110100012022
4323103110
530233100
65112312
72031110
oct732324
9410168
10242900
11156549
12b8698
1386738
1464740
154be85
hex3b4d4

242900 has 36 divisors (see below), whose sum is σ = 604128. Its totient is φ = 83040.

The previous prime is 242887. The next prime is 242911. The reversal of 242900 is 9242.

It is a congruent number.

It is an unprimeable number.

242900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527 + ... + 873.

2242900 is an apocalyptic number.

242900 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 242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302064).

242900 is an abundant number, since it is smaller than the sum of its proper divisors (361228).

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

242900 is a wasteful number, since it uses less digits than its factorization.

242900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 242900 is about 492.8488612141. The cubic root of 242900 is about 62.3939535013.

The spelling of 242900 in words is "two hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 347 350 694 700 1388 1735 2429 3470 4858 6940 8675 9716 12145 17350 24290 34700 48580 60725 121450 242900