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11102928 = 2432389113
BaseRepresentation
bin101010010110…
…101011010000
3202220002100120
4222112223100
510320243203
61033550240
7163242024
oct52265320
922802316
1011102928
1162a3881
123875380
1323b98a5
141690384
15e94b53
hexa96ad0

11102928 has 80 divisors (see below), whose sum is σ = 30533760. Its totient is φ = 3469312.

The previous prime is 11102893. The next prime is 11102933. The reversal of 11102928 is 82920111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11102898 and 11102907.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 98200 + ... + 98312.

It is an arithmetic number, because the mean of its divisors is an integer number (381672).

Almost surely, 211102928 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 11102928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266880).

11102928 is an abundant number, since it is smaller than the sum of its proper divisors (19430832).

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

11102928 is a wasteful number, since it uses less digits than its factorization.

11102928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11102928 is about 3332.1056405822. The cubic root of 11102928 is about 223.0895227982.

The spelling of 11102928 in words is "eleven million, one hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 113 138 178 184 226 267 276 339 356 368 452 534 552 678 712 904 1068 1104 1356 1424 1808 2047 2136 2599 2712 4094 4272 5198 5424 6141 7797 8188 10057 10396 12282 15594 16376 20114 20792 24564 30171 31188 32752 40228 41584 49128 60342 62376 80456 98256 120684 124752 160912 231311 241368 462622 482736 693933 925244 1387866 1850488 2775732 3700976 5551464 11102928