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9690816 = 263172969
BaseRepresentation
bin100100111101…
…111011000000
3200020100022010
4210331323000
54440101231
6543412520
7145241052
oct44757300
920210263
109690816
115519943
1232b4140
132013c15
1414038d2
15cb6546
hex93dec0

9690816 has 56 divisors (see below), whose sum is σ = 27157680. Its totient is φ = 3039232.

The previous prime is 9690803. The next prime is 9690827. The reversal of 9690816 is 6180969.

9690816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 1780 + ... + 4748.

Almost surely, 29690816 is an apocalyptic number.

9690816 is a gapful number since it is divisible by the number (96) 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 9690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578840).

9690816 is an abundant number, since it is smaller than the sum of its proper divisors (17466864).

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

9690816 is a wasteful number, since it uses less digits than its factorization.

9690816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9690816 is about 3113.0075489790. The cubic root of 9690816 is about 213.1997948998.

The spelling of 9690816 in words is "nine million, six hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 2969 3264 5938 8907 11876 17814 23752 35628 47504 50473 71256 95008 100946 142512 151419 190016 201892 285024 302838 403784 570048 605676 807568 1211352 1615136 2422704 3230272 4845408 9690816