Search a number
-
+
272842200 = 233252151579
BaseRepresentation
bin10000010000110…
…011110111011000
3201000101211010200
4100100303313120
51024321422300
643023542200
76522056211
oct2020636730
9630354120
10272842200
11130015424
127745a960
13446ac6b7
1428344408
1518e47200
hex10433dd8

272842200 has 72 divisors (see below), whose sum is σ = 916301100. Its totient is φ = 72757440.

The previous prime is 272842183. The next prime is 272842243. The reversal of 272842200 is 2248272.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2728422002 = 148885732201680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73990 + ... + 77589.

Almost surely, 2272842200 is an apocalyptic number.

272842200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272842200 is an abundant number, since it is smaller than the sum of its proper divisors (643458900).

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

272842200 is a wasteful number, since it uses less digits than its factorization.

272842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151601 (or 151589 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 272842200 is about 16517.9357063769. The cubic root of 272842200 is about 648.5903969930.

The spelling of 272842200 in words is "two hundred seventy-two million, eight hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 151579 303158 454737 606316 757895 909474 1212632 1364211 1515790 1818948 2273685 2728422 3031580 3637896 3789475 4547370 5456844 6063160 6821055 7578950 9094740 10913688 11368425 13642110 15157900 18189480 22736850 27284220 30315800 34105275 45473700 54568440 68210550 90947400 136421100 272842200