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272680047 = 3337499547
BaseRepresentation
bin10000010000001…
…100010001101111
3201000002120201000
4100100030101233
51024301230142
643020251343
76520512363
oct2020142157
9630076630
10272680047
1112aa14612
12773a0b53
1344653953
14283012a3
1518e1414c
hex1040c46f

272680047 has 32 divisors (see below), whose sum is σ = 416480000. Its totient is φ = 176196384.

The previous prime is 272680043. The next prime is 272680063. The reversal of 272680047 is 740086272.

It is not a de Polignac number, because 272680047 - 22 = 272680043 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272679993 and 272680020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272680043) 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 31 ways as a sum of consecutive naturals, for example, 498228 + ... + 498774.

It is an arithmetic number, because the mean of its divisors is an integer number (13015000).

Almost surely, 2272680047 is an apocalyptic number.

272680047 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

272680047 is a deficient number, since it is larger than the sum of its proper divisors (143799953).

272680047 is a wasteful number, since it uses less digits than its factorization.

272680047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 272680047 is about 16513.0265850934. The cubic root of 272680047 is about 648.4618834905.

The spelling of 272680047 in words is "two hundred seventy-two million, six hundred eighty thousand, forty-seven".

Divisors: 1 3 9 27 37 111 333 499 547 999 1497 1641 4491 4923 13473 14769 18463 20239 55389 60717 166167 182151 272953 498501 546453 818859 2456577 7369731 10099261 30297783 90893349 272680047