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272623240 = 23510167481
BaseRepresentation
bin10000001111111…
…110011010001000
3200222222200210001
4100033332122020
51024242420430
643015132344
76520154641
oct2017763210
9628880701
10272623240
1112a98596a
12773740b4
1344633b36
14282c86c8
1518e023ca
hex103fe688

272623240 has 32 divisors (see below), whose sum is σ = 619484760. Its totient is φ = 107968000.

The previous prime is 272623231. The next prime is 272623243. The reversal of 272623240 is 42326272.

It can be written as a sum of positive squares in 4 ways, for example, as 266930244 + 5692996 = 16338^2 + 2386^2 .

It is a junction number, because it is equal to n+sod(n) for n = 272623199 and 272623208.

It is not an unprimeable number, because it can be changed into a prime (272623243) 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, 29701 + ... + 37780.

Almost surely, 2272623240 is an apocalyptic number.

272623240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272623240 is an abundant number, since it is smaller than the sum of its proper divisors (346861520).

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

272623240 is a wasteful number, since it uses less digits than its factorization.

272623240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67593 (or 67589 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 272623240 is about 16511.3064292321. The cubic root of 272623240 is about 648.4168493525.

It can be divided in two parts, 2726232 and 40, that added together give a palindrome (2726272).

The spelling of 272623240 in words is "two hundred seventy-two million, six hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 67481 134962 269924 337405 539848 674810 1349620 2699240 6815581 13631162 27262324 34077905 54524648 68155810 136311620 272623240