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272680433 = 23312811361
BaseRepresentation
bin10000010000001…
…100010111110001
3201000002121020022
4100100030113301
51024301233213
643020253225
76520513454
oct2020142761
9630077208
10272680433
1112aa14933
12773a1215
1344653b8c
142830149b
1518e14308
hex1040c5f1

272680433 has 16 divisors (see below), whose sum is σ = 294976512. Its totient is φ = 251328000.

The previous prime is 272680423. The next prime is 272680487. The reversal of 272680433 is 334086272.

It is a cyclic number.

It is not a de Polignac number, because 272680433 - 210 = 272679409 is a prime.

It is a super-3 number, since 3×2726804333 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272680393 and 272680402.

It is not an unprimeable number, because it can be changed into a prime (272680423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199673 + ... + 201033.

It is an arithmetic number, because the mean of its divisors is an integer number (18436032).

Almost surely, 2272680433 is an apocalyptic number.

272680433 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

272680433 is a deficient number, since it is larger than the sum of its proper divisors (22296079).

272680433 is a wasteful number, since it uses less digits than its factorization.

272680433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696.

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 272680433 is about 16513.0382728316. The cubic root of 272680433 is about 648.4621894732.

The spelling of 272680433 in words is "two hundred seventy-two million, six hundred eighty thousand, four hundred thirty-three".

Divisors: 1 23 31 281 713 1361 6463 8711 31303 42191 200353 382441 970393 8796143 11855671 272680433