Search a number
-
+
10497536 = 29729101
BaseRepresentation
bin101000000010…
…111000000000
3201202022220122
4220002320000
510141410121
61012555412
7155141030
oct50027000
921668818
1010497536
115a1aa55
123622b68
13223717a
1415738c0
15dc55ab
hexa02e00

10497536 has 80 divisors (see below), whose sum is σ = 25043040. Its totient is φ = 4300800.

The previous prime is 10497533. The next prime is 10497541. The reversal of 10497536 is 63579401.

It is a super-2 number, since 2×104975362 = 220396524142592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10497496 and 10497505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10497533) 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, 103886 + ... + 103986.

It is an arithmetic number, because the mean of its divisors is an integer number (313038).

Almost surely, 210497536 is an apocalyptic number.

10497536 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 10497536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12521520).

10497536 is an abundant number, since it is smaller than the sum of its proper divisors (14545504).

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

10497536 is an equidigital number, since it uses as much as digits as its factorization.

10497536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 10497536 is about 3239.9901234417. The cubic root of 10497536 is about 218.9588268684.

The spelling of 10497536 in words is "ten million, four hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 101 112 116 128 202 203 224 232 256 404 406 448 464 512 707 808 812 896 928 1414 1616 1624 1792 1856 2828 2929 3232 3248 3584 3712 5656 5858 6464 6496 7424 11312 11716 12928 12992 14848 20503 22624 23432 25856 25984 41006 45248 46864 51712 51968 82012 90496 93728 103936 164024 180992 187456 328048 361984 374912 656096 749824 1312192 1499648 2624384 5248768 10497536