Search a number
-
+
10497856 = 26612689
BaseRepresentation
bin101000000010…
…111101000000
3201202100100111
4220002331000
510141412411
61013001104
7155141665
oct50027500
921670314
1010497856
115a20216
123623194
132237365
141573a6c
15dc5721
hexa02f40

10497856 has 28 divisors (see below), whose sum is σ = 21181060. Its totient is φ = 5160960.

The previous prime is 10497853. The next prime is 10497859. The reversal of 10497856 is 65879401.

It is an interprime number because it is at equal distance from previous prime (10497853) and next prime (10497859).

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 10137856 = 600^2 + 3184^2 .

It is a super-2 number, since 2×104978562 = 220409961193472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2560 + ... + 5248.

Almost surely, 210497856 is an apocalyptic number.

10497856 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 10497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10590530).

10497856 is an abundant number, since it is smaller than the sum of its proper divisors (10683204).

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

10497856 is an equidigital number, since it uses as much as digits as its factorization.

10497856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 10497856 is about 3240.0395059320. The cubic root of 10497856 is about 218.9610517115.

The spelling of 10497856 in words is "ten million, four hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 2689 3904 5378 10756 21512 43024 86048 164029 172096 328058 656116 1312232 2624464 5248928 10497856