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272305116 = 223217312463
BaseRepresentation
bin10000001110110…
…000101111011100
3200222101112101200
4100032300233130
51024202230431
643004235500
76514361316
oct2016605734
9628345350
10272305116
1112a788956
127723bb90
13445520b5
14282447b6
1518d8cee6
hex103b0bdc

272305116 has 108 divisors (see below), whose sum is σ = 754711776. Its totient is φ = 82494720.

The previous prime is 272305097. The next prime is 272305123. The reversal of 272305116 is 611503272.

It is a happy number.

272305116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 272305116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587901 + ... + 588363.

It is an arithmetic number, because the mean of its divisors is an integer number (6988072).

Almost surely, 2272305116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272305116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377355888).

272305116 is an abundant number, since it is smaller than the sum of its proper divisors (482406660).

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

272305116 is a wasteful number, since it uses less digits than its factorization.

272305116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 272305116 is about 16501.6700972962. The cubic root of 272305116 is about 648.1645386927.

Adding to 272305116 its reverse (611503272), we get a palindrome (883808388).

The spelling of 272305116 in words is "two hundred seventy-two million, three hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 463 527 558 612 926 961 1054 1116 1389 1581 1852 1922 2108 2778 2883 3162 3844 4167 4743 5556 5766 6324 7871 8334 8649 9486 11532 14353 15742 16337 16668 17298 18972 23613 28706 31484 32674 34596 43059 47226 49011 57412 65348 70839 86118 94452 98022 129177 141678 147033 172236 196044 244001 258354 283356 294066 444943 488002 516708 588132 732003 889886 976004 1334829 1464006 1779772 2196009 2669658 2928012 4004487 4392018 5339316 7564031 8008974 8784036 15128062 16017948 22692093 30256124 45384186 68076279 90768372 136152558 272305116