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9705696 = 25371113101
BaseRepresentation
bin100101000001…
…100011100000
3200021002201020
4211001203200
54441040241
6544005440
7145332330
oct45014340
920232636
109705696
11552a040
123300880
13201a920
1414090c0
15cbab66
hex9418e0

9705696 has 192 divisors, whose sum is σ = 34546176. Its totient is φ = 2304000.

The previous prime is 9705671. The next prime is 9705719. The reversal of 9705696 is 6965079.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

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, 96046 + ... + 96146.

It is an arithmetic number, because the mean of its divisors is an integer number (179928).

Almost surely, 29705696 is an apocalyptic number.

9705696 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 9705696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273088).

9705696 is an abundant number, since it is smaller than the sum of its proper divisors (24840480).

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

9705696 is a wasteful number, since it uses less digits than its factorization.

9705696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 9705696 is about 3115.3966039655. The cubic root of 9705696 is about 213.3088600398.

It can be divided in two parts, 9705 and 696, that added together give a palindrome (10401).

The spelling of 9705696 in words is "nine million, seven hundred five thousand, six hundred ninety-six".