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11023992 = 2333723317
BaseRepresentation
bin101010000011…
…011001111000
3202202002002000
4222003121320
510310231432
61032141000
7162462630
oct52033170
922662060
1011023992
11624a541
123837760
13238c995
14166d6c0
15e7b57c
hexa83678

11023992 has 128 divisors (see below), whose sum is σ = 36633600. Its totient is φ = 3003264.

The previous prime is 11023963. The next prime is 11023993. The reversal of 11023992 is 29932011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023993) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34618 + ... + 34934.

It is an arithmetic number, because the mean of its divisors is an integer number (286200).

Almost surely, 211023992 is an apocalyptic number.

11023992 is a gapful number since it is divisible by the number (12) 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 11023992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316800).

11023992 is an abundant number, since it is smaller than the sum of its proper divisors (25609608).

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

11023992 is a wasteful number, since it uses less digits than its factorization.

11023992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11023992 is about 3320.2397503795. The cubic root of 11023992 is about 222.5595817375.

The spelling of 11023992 in words is "eleven million, twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 317 322 378 414 483 504 552 621 634 644 756 828 951 966 1242 1268 1288 1449 1512 1656 1902 1932 2219 2484 2536 2853 2898 3804 3864 4347 4438 4968 5706 5796 6657 7291 7608 8559 8694 8876 11412 11592 13314 14582 17118 17388 17752 19971 21873 22824 26628 29164 34236 34776 39942 43746 51037 53256 58328 59913 65619 68472 79884 87492 102074 119826 131238 153111 159768 174984 196857 204148 239652 262476 306222 393714 408296 459333 479304 524952 612444 787428 918666 1224888 1377999 1574856 1837332 2755998 3674664 5511996 11023992