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272087296 = 2813219331
BaseRepresentation
bin10000001101111…
…011100100000000
3200221222110121021
4100031323210000
51024123243141
642555435224
76512463265
oct2015734400
9627873537
10272087296
1112a64a238
1277155b14
13444a6c00
14281c926c
1518d486d1
hex1037b900

272087296 has 108 divisors (see below), whose sum is σ = 620926320. Its totient is φ = 118609920.

The previous prime is 272087209. The next prime is 272087303. The reversal of 272087296 is 692780272.

It is a happy number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 821851 + ... + 822181.

Almost surely, 2272087296 is an apocalyptic number.

272087296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310463160).

272087296 is an abundant number, since it is smaller than the sum of its proper divisors (348839024).

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

272087296 is a wasteful number, since it uses less digits than its factorization.

272087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 272087296 is about 16495.0688388985. The cubic root of 272087296 is about 647.9916678297.

The spelling of 272087296 in words is "two hundred seventy-two million, eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 169 208 247 256 304 331 338 416 494 608 662 676 832 988 1216 1324 1352 1664 1976 2432 2648 2704 3211 3328 3952 4303 4864 5296 5408 6289 6422 7904 8606 10592 10816 12578 12844 15808 17212 21184 21632 25156 25688 31616 34424 42368 43264 50312 51376 55939 63232 68848 81757 84736 100624 102752 111878 137696 163514 201248 205504 223756 275392 327028 402496 411008 447512 550784 654056 804992 822016 895024 1062841 1101568 1308112 1609984 1790048 2125682 2616224 3580096 4251364 5232448 7160192 8502728 10464896 14320384 17005456 20929792 34010912 68021824 136043648 272087296