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10685896 = 2313372777
BaseRepresentation
bin101000110000…
…110111001000
3202002220021221
4220300313020
510213422041
61021011424
7156554134
oct50606710
922086257
1010685896
116039521
1236b3b74
1322a1b20
1415c23c4
15e112d1
hexa30dc8

10685896 has 32 divisors (see below), whose sum is σ = 22168440. Its totient is φ = 4796928.

The previous prime is 10685893. The next prime is 10685921. The reversal of 10685896 is 69858601.

It can be written as a sum of positive squares in 4 ways, for example, as 7761796 + 2924100 = 2786^2 + 1710^2 .

It is a super-2 number, since 2×106858962 = 228376746645632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10685893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2460 + ... + 5236.

Almost surely, 210685896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10685896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11084220).

10685896 is an abundant number, since it is smaller than the sum of its proper divisors (11482544).

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

10685896 is a wasteful number, since it uses less digits than its factorization.

10685896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The square root of 10685896 is about 3268.9288765588. The cubic root of 10685896 is about 220.2606827250.

The spelling of 10685896 in words is "ten million, six hundred eighty-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 2777 3848 5554 11108 22216 36101 72202 102749 144404 205498 288808 410996 821992 1335737 2671474 5342948 10685896