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13288698 = 23537739
BaseRepresentation
bin110010101100…
…010011111010
3221000010200000
4302230103322
511400214243
61152453430
7220644363
oct62542372
927003600
1013288698
117556aa5
12454a276
1329a3747
141a9cb6a
1512775d3
hexcac4fa

13288698 has 48 divisors (see below), whose sum is σ = 30707040. Its totient is φ = 4304016.

The previous prime is 13288697. The next prime is 13288721. The reversal of 13288698 is 89688231.

It is a super-3 number, since 3×132886983 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13288697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17613 + ... + 18351.

It is an arithmetic number, because the mean of its divisors is an integer number (639730).

Almost surely, 213288698 is an apocalyptic number.

13288698 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13288698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353520).

13288698 is an abundant number, since it is smaller than the sum of its proper divisors (17418342).

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

13288698 is an equidigital number, since it uses as much as digits as its factorization.

13288698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 13288698 is about 3645.3666482262. The cubic root of 13288698 is about 236.8613192833.

The spelling of 13288698 in words is "thirteen million, two hundred eighty-eight thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 739 999 1478 1998 2217 2997 4434 5994 6651 8991 13302 17982 19953 27343 39906 54686 59859 82029 119718 164058 179577 246087 359154 492174 738261 1476522 2214783 4429566 6644349 13288698