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10881090 = 23251129379
BaseRepresentation
bin101001100000…
…100001000010
3202110211001100
4221200201002
510241143330
61025115230
7161326203
oct51404102
922424040
1010881090
116162140
123788b16
13233c91c
1416335aa
15e4e060
hexa60842

10881090 has 96 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 2540160.

The previous prime is 10881089. The next prime is 10881127. The reversal of 10881090 is 9018801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28521 + ... + 28899.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 210881090 is an apocalyptic number.

10881090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10881090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

10881090 is an abundant number, since it is smaller than the sum of its proper divisors (21130110).

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

10881090 is a wasteful number, since it uses less digits than its factorization.

10881090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 10881090 is about 3298.6497237506. The cubic root of 10881090 is about 221.5937298117.

Adding to 10881090 its reverse (9018801), we get a palindrome (19899891).

It can be divided in two parts, 108810 and 90, that added together give a square (108900 = 3302).

The spelling of 10881090 in words is "ten million, eight hundred eighty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 379 435 495 522 638 758 870 957 990 1137 1305 1595 1895 1914 2274 2610 2871 3190 3411 3790 4169 4785 5685 5742 6822 8338 9570 10991 11370 12507 14355 17055 20845 21982 25014 28710 32973 34110 37521 41690 54955 62535 65946 75042 98919 109910 120901 125070 164865 187605 197838 241802 329730 362703 375210 494595 604505 725406 989190 1088109 1209010 1813515 2176218 3627030 5440545 10881090