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11006982 = 233737787
BaseRepresentation
bin101001111111…
…010000000110
3202201012202000
4221333100012
510304210412
61031530130
7162362220
oct51772006
922635660
1011006982
116238788
123829946
13238500c
141667410
15e764dc
hexa7f406

11006982 has 64 divisors (see below), whose sum is σ = 28746240. Its totient is φ = 3055968.

The previous prime is 11006971. The next prime is 11006999. The reversal of 11006982 is 28960011.

11006982 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13593 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (449160).

Almost surely, 211006982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373120).

11006982 is an abundant number, since it is smaller than the sum of its proper divisors (17739258).

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

11006982 is a wasteful number, since it uses less digits than its factorization.

11006982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11006982 is about 3317.6771994876. The cubic root of 11006982 is about 222.4450531322.

Adding to 11006982 its reverse (28960011), we get a palindrome (39966993).

The spelling of 11006982 in words is "eleven million, six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 787 999 1554 1574 1998 2331 2361 4662 4722 5509 6993 7083 11018 13986 14166 16527 21249 29119 33054 42498 49581 58238 87357 99162 148743 174714 203833 262071 297486 407666 524142 611499 786213 1222998 1572426 1834497 3668994 5503491 11006982