Search a number
-
+
10497136 = 2413109463
BaseRepresentation
bin101000000010…
…110001110000
3201202022100211
4220002301300
510141402021
61012553504
7155136616
oct50026160
921668324
1010497136
115a1a721
123622894
132236c30
1415736b6
15dc53e1
hexa02c70

10497136 has 40 divisors (see below), whose sum is σ = 22151360. Its totient is φ = 4790016.

The previous prime is 10497083. The next prime is 10497167. The reversal of 10497136 is 63179401.

It is a happy number.

It is a super-2 number, since 2×104971362 = 220379728404992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10497098 and 10497107.

It is a congruent number.

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, 22441 + ... + 22903.

It is an arithmetic number, because the mean of its divisors is an integer number (553784).

Almost surely, 210497136 is an apocalyptic number.

10497136 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 10497136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075680).

10497136 is an abundant number, since it is smaller than the sum of its proper divisors (11654224).

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

10497136 is a wasteful number, since it uses less digits than its factorization.

10497136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 10497136 is about 3239.9283942705. The cubic root of 10497136 is about 218.9560457509.

The spelling of 10497136 in words is "ten million, four hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 463 872 926 1417 1744 1852 2834 3704 5668 6019 7408 11336 12038 22672 24076 48152 50467 96304 100934 201868 403736 656071 807472 1312142 2624284 5248568 10497136