Search a number
-
+
10881728 = 2611132941
BaseRepresentation
bin101001100000…
…101011000000
3202110211220222
4221200223000
510241203403
61025122212
7161331104
oct51405300
922424828
1010881728
116162670
123789368
13233ccc0
141633904
15e4e338
hexa60ac0

10881728 has 112 divisors (see below), whose sum is σ = 26883360. Its totient is φ = 4300800.

The previous prime is 10881701. The next prime is 10881733. The reversal of 10881728 is 82718801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265388 + ... + 265428.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 210881728 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 10881728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441680).

10881728 is an abundant number, since it is smaller than the sum of its proper divisors (16001632).

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

10881728 is a wasteful number, since it uses less digits than its factorization.

10881728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 10881728 is about 3298.7464285695. The cubic root of 10881728 is about 221.5980606902.

The spelling of 10881728 in words is "ten million, eight hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 41 44 52 58 64 82 88 104 116 143 164 176 208 232 286 319 328 352 377 416 451 464 533 572 638 656 704 754 832 902 928 1066 1144 1189 1276 1312 1508 1804 1856 2132 2288 2378 2552 2624 3016 3608 4147 4264 4576 4756 5104 5863 6032 7216 8294 8528 9152 9512 10208 11726 12064 13079 14432 15457 16588 17056 19024 20416 23452 24128 26158 28864 30914 33176 34112 38048 46904 52316 61828 66352 76096 93808 104632 123656 132704 170027 187616 209264 247312 265408 340054 375232 418528 494624 680108 837056 989248 1360216 2720432 5440864 10881728