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68927232 = 2831141199
BaseRepresentation
bin1000001101110…
…11111100000000
311210200212101110
410012323330000
5120121132412
610501203320
71464605013
oct406737400
9153625343
1068927232
11359a9060
121b100540
131138445a
14922337a
1560b7d3c
hex41bbf00

68927232 has 144 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 20275200.

The previous prime is 68927213. The next prime is 68927233. The reversal of 68927232 is 23272986.

It is a super-3 number, since 3×689272323 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68927233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346269 + ... + 346467.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 268927232 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 68927232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

68927232 is an abundant number, since it is smaller than the sum of its proper divisors (137107968).

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

68927232 is a wasteful number, since it uses less digits than its factorization.

68927232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 68927232 is about 8302.2425886022. The cubic root of 68927232 is about 410.0123573511.

The spelling of 68927232 in words is "sixty-eight million, nine hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 199 246 256 264 328 352 384 398 451 492 528 597 656 704 768 796 902 984 1056 1194 1312 1353 1408 1592 1804 1968 2112 2189 2388 2624 2706 2816 3184 3608 3936 4224 4378 4776 5248 5412 6368 6567 7216 7872 8159 8448 8756 9552 10496 10824 12736 13134 14432 15744 16318 17512 19104 21648 24477 25472 26268 28864 31488 32636 35024 38208 43296 48954 50944 52536 57728 65272 70048 76416 86592 89749 97908 105072 115456 130544 140096 152832 173184 179498 195816 210144 261088 269247 280192 346368 358996 391632 420288 522176 538494 560384 717992 783264 840576 1044352 1076988 1435984 1566528 1681152 2088704 2153976 2871968 3133056 4307952 5743936 6266112 8615904 11487872 17231808 22975744 34463616 68927232