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10513296 = 243273009
BaseRepresentation
bin101000000110…
…101110010000
3201210010112100
4220012232100
510142411141
61013200400
7155235003
oct50065620
921703470
1010513296
115a30882
123630100
1322413b1
14157953a
15dca0b6
hexa06b90

10513296 has 30 divisors (see below), whose sum is σ = 29423030. Its totient is φ = 3504384.

The previous prime is 10513273. The next prime is 10513319. The reversal of 10513296 is 69231501.

It is an interprime number because it is at equal distance from previous prime (10513273) and next prime (10513319).

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 3027600 = 2736^2 + 1740^2 .

It is a super-2 number, since 2×105132962 = 221058785567232, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36361 + ... + 36648.

Almost surely, 210513296 is an apocalyptic number.

10513296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10513296 is an abundant number, since it is smaller than the sum of its proper divisors (18909734).

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

10513296 is a wasteful number, since it uses less digits than its factorization.

10513296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73023 (or 73014 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10513296 is about 3242.4213174725. The cubic root of 10513296 is about 219.0683467168.

Adding to 10513296 its reverse (69231501), we get a palindrome (79744797).

The spelling of 10513296 in words is "ten million, five hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 73009 146018 219027 292036 438054 584072 657081 876108 1168144 1314162 1752216 2628324 3504432 5256648 10513296