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13203328 = 27196189
BaseRepresentation
bin110010010111…
…011110000000
3220211210120011
4302113132000
511340001303
61150554304
7220140445
oct62273600
926753504
1013203328
1174a8946
124508994
132973928
141a799cc
15125c16d
hexc97780

13203328 has 64 divisors (see below), whose sum is σ = 28458000. Its totient is φ = 6082560.

The previous prime is 13203319. The next prime is 13203361. The reversal of 13203328 is 82330231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13203299 and 13203308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148308 + ... + 148396.

Almost surely, 213203328 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 13203328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229000).

13203328 is an abundant number, since it is smaller than the sum of its proper divisors (15254672).

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

13203328 is an equidigital number, since it uses as much as digits as its factorization.

13203328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 13203328 is about 3633.6383969790. The cubic root of 13203328 is about 236.3530099580.

Adding to 13203328 its reverse (82330231), we get a palindrome (95533559).

It can be divided in two parts, 13203 and 328, that added together give a palindrome (13531).

The spelling of 13203328 in words is "thirteen million, two hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 61 64 76 89 122 128 152 178 244 304 356 488 608 712 976 1159 1216 1424 1691 1952 2318 2432 2848 3382 3904 4636 5429 5696 6764 7808 9272 10858 11392 13528 18544 21716 27056 37088 43432 54112 74176 86864 103151 108224 148352 173728 206302 216448 347456 412604 694912 825208 1650416 3300832 6601664 13203328