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11087928 = 233471241
BaseRepresentation
bin101010010011…
…000000111000
3202212022210000
4222103000320
510314303203
61033353000
7163150215
oct52230070
922768700
1011087928
116293585
123868760
1323b2b07
141688b0c
15e904a3
hexa93038

11087928 has 80 divisors (see below), whose sum is σ = 31624560. Its totient is φ = 3628800.

The previous prime is 11087903. The next prime is 11087933. The reversal of 11087928 is 82978011.

It is a super-3 number, since 3×110879283 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11087892 and 11087901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45888 + ... + 46128.

It is an arithmetic number, because the mean of its divisors is an integer number (395307).

Almost surely, 211087928 is an apocalyptic number.

11087928 is a gapful number since it is divisible by the number (18) 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 11087928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812280).

11087928 is an abundant number, since it is smaller than the sum of its proper divisors (20536632).

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

11087928 is a wasteful number, since it uses less digits than its factorization.

11087928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11087928 is about 3329.8540508557. The cubic root of 11087928 is about 222.9890132468.

The spelling of 11087928 in words is "eleven million, eighty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 241 284 324 426 482 568 639 648 723 852 964 1278 1446 1704 1917 1928 2169 2556 2892 3834 4338 5112 5751 5784 6507 7668 8676 11502 13014 15336 17111 17352 19521 23004 26028 34222 39042 46008 51333 52056 68444 78084 102666 136888 153999 156168 205332 307998 410664 461997 615996 923994 1231992 1385991 1847988 2771982 3695976 5543964 11087928