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272240 = 2454183
BaseRepresentation
bin1000010011101110000
3111211102222
41002131300
532202430
65500212
72212463
oct1023560
9454388
10272240
111765a1
12111668
1396bb7
14712da
15559e5
hex42770

272240 has 40 divisors (see below), whose sum is σ = 656208. Its totient is φ = 104960.

The previous prime is 272231. The next prime is 272249. The reversal of 272240 is 42272.

It is an interprime number because it is at equal distance from previous prime (272231) and next prime (272249).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2722402 = 148229235200, which contains 22 as substring.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3239 + ... + 3321.

2272240 is an apocalyptic number.

272240 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 272240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328104).

272240 is an abundant number, since it is smaller than the sum of its proper divisors (383968).

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

272240 is a wasteful number, since it uses less digits than its factorization.

272240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 272240 is about 521.7662311802. The cubic root of 272240 is about 64.8112869634.

It can be divided in two parts, 272 and 240, that added together give a 9-th power (512 = 29).

The spelling of 272240 in words is "two hundred seventy-two thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 83 164 166 205 328 332 410 415 656 664 820 830 1328 1640 1660 3280 3320 3403 6640 6806 13612 17015 27224 34030 54448 68060 136120 272240