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13458653 = 13297821
BaseRepresentation
bin110011010101…
…110011011101
3221022202210122
4303111303131
511421134103
61200244325
7222253025
oct63256335
927282718
1013458653
11766275a
1246106a5
132a32c00
141b04a85
1512acb38
hexcd5cdd

13458653 has 12 divisors (see below), whose sum is σ = 14741748. Its totient is φ = 12280320.

The previous prime is 13458649. The next prime is 13458691. The reversal of 13458653 is 35685431.

It can be written as a sum of positive squares in 6 ways, for example, as 3485689 + 9972964 = 1867^2 + 3158^2 .

It is not a de Polignac number, because 13458653 - 22 = 13458649 is a prime.

It is a super-2 number, since 2×134586532 = 362270681148818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13458623) 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, 15983 + ... + 16803.

It is an arithmetic number, because the mean of its divisors is an integer number (1228479).

Almost surely, 213458653 is an apocalyptic number.

13458653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13458653 is a deficient number, since it is larger than the sum of its proper divisors (1283095).

13458653 is an equidigital number, since it uses as much as digits as its factorization.

13458653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 13458653 is about 3668.6036853277. The cubic root of 13458653 is about 237.8668193046.

The spelling of 13458653 in words is "thirteen million, four hundred fifty-eight thousand, six hundred fifty-three".

Divisors: 1 13 97 169 821 1261 10673 16393 79637 138749 1035281 13458653