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10752816 = 243832699
BaseRepresentation
bin101001000001…
…001100110000
3202020022002110
4221001030300
510223042231
61022245320
7160253214
oct51011460
922208073
1010752816
116084828
123726840
1322c6419
1415dc944
15e26046
hexa41330

10752816 has 40 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3539776.

The previous prime is 10752793. The next prime is 10752821. The reversal of 10752816 is 61825701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2635 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 210752816 is an apocalyptic number.

10752816 is a gapful number since it is divisible by the number (16) 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 10752816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

10752816 is an abundant number, since it is smaller than the sum of its proper divisors (17370384).

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

10752816 is a wasteful number, since it uses less digits than its factorization.

10752816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 10752816 is about 3279.1486700057. The cubic root of 10752816 is about 220.7195175063.

The spelling of 10752816 in words is "ten million, seven hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 2699 3984 5398 8097 10796 16194 21592 32388 43184 64776 129552 224017 448034 672051 896068 1344102 1792136 2688204 3584272 5376408 10752816