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272463114 = 2371117113307
BaseRepresentation
bin10000001111010…
…111010100001010
3200222200120010110
4100033113110022
51024222304424
643011455150
76515620050
oct2017272412
9628616113
10272463114
1112a886630
12772b74b6
13445a8ca1
14282861d0
1518dbec29
hex103d750a

272463114 has 128 divisors (see below), whose sum is σ = 728082432. Its totient is φ = 65802240.

The previous prime is 272463109. The next prime is 272463127. The reversal of 272463114 is 411364272.

It is a super-2 number, since 2×2724631142 = 148472296981153992, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 887349 + ... + 887655.

It is an arithmetic number, because the mean of its divisors is an integer number (5688144).

Almost surely, 2272463114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272463114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364041216).

272463114 is an abundant number, since it is smaller than the sum of its proper divisors (455619318).

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

272463114 is a wasteful number, since it uses less digits than its factorization.

272463114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its digits is 8064, while the sum is 30.

The square root of 272463114 is about 16506.4567366834. The cubic root of 272463114 is about 648.2898746908.

The spelling of 272463114 in words is "two hundred seventy-two million, four hundred sixty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 113 119 154 187 226 231 238 307 339 357 374 462 561 614 678 714 791 921 1122 1243 1309 1582 1842 1921 2149 2373 2486 2618 3377 3729 3842 3927 4298 4746 5219 5763 6447 6754 7458 7854 8701 10131 10438 11526 12894 13447 15657 17402 20262 21131 23639 26103 26894 31314 34691 36533 40341 42262 47278 52206 57409 63393 69382 70917 73066 80682 104073 109599 114818 126786 141834 147917 172227 208146 219198 242837 295834 344454 381601 401863 443751 485674 589747 728511 763202 803726 887502 1144803 1179494 1205589 1457022 1769241 2289606 2411178 2671207 3538482 4128229 5342414 6487217 8013621 8256458 12384687 12974434 16027242 19461651 24769374 38923302 45410519 90821038 136231557 272463114