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10497956 = 2272192819
BaseRepresentation
bin101000000010…
…111110100100
3201202100111012
4220002332210
510141413311
61013001352
7155142200
oct50027644
921670435
1010497956
115a202a7
123623258
132237411
141573b00
15dc578b
hexa02fa4

10497956 has 36 divisors (see below), whose sum is σ = 22503600. Its totient is φ = 4260816.

The previous prime is 10497953. The next prime is 10497961. The reversal of 10497956 is 65979401.

10497956 = T413 + T414 + ... + T510.

It is a super-2 number, since 2×104979562 = 220414160355872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10497953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2315 + ... + 5133.

It is an arithmetic number, because the mean of its divisors is an integer number (625100).

Almost surely, 210497956 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 10497956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251800).

10497956 is an abundant number, since it is smaller than the sum of its proper divisors (12005644).

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

10497956 is a wasteful number, since it uses less digits than its factorization.

10497956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 10497956 is about 3240.0549378058. The cubic root of 10497956 is about 218.9617469657.

The spelling of 10497956 in words is "ten million, four hundred ninety-seven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 2819 3724 5638 11276 19733 39466 53561 78932 107122 138131 214244 276262 374927 552524 749854 1499708 2624489 5248978 10497956