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10663752 = 23311311303
BaseRepresentation
bin101000101011…
…011101001000
3202001202220210
4220223131020
510212220002
61020321120
7156432441
oct50533510
922052823
1010663752
116023920
1236a31a0
132294a18
1415b82c8
15e0996c
hexa2b748

10663752 has 64 divisors (see below), whose sum is σ = 30044160. Its totient is φ = 3124800.

The previous prime is 10663747. The next prime is 10663753. The reversal of 10663752 is 25736601.

It is a super-2 number, since 2×106637522 = 227431213435008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10663753) 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 15 ways as a sum of consecutive naturals, for example, 7533 + ... + 8835.

It is an arithmetic number, because the mean of its divisors is an integer number (469440).

Almost surely, 210663752 is an apocalyptic number.

10663752 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 10663752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022080).

10663752 is an abundant number, since it is smaller than the sum of its proper divisors (19380408).

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

10663752 is a wasteful number, since it uses less digits than its factorization.

10663752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 10663752 is about 3265.5400778432. The cubic root of 10663752 is about 220.1084313971.

The spelling of 10663752 in words is "ten million, six hundred sixty-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1303 1364 2046 2606 2728 3909 4092 5212 7818 8184 10424 14333 15636 28666 31272 40393 42999 57332 80786 85998 114664 121179 161572 171996 242358 323144 343992 444323 484716 888646 969432 1332969 1777292 2665938 3554584 5331876 10663752