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13522096 = 247157769
BaseRepresentation
bin110011100101…
…010010110000
3221102222211101
4303211102300
511430201341
61201454144
7222636010
oct63452260
927388741
1013522096
1176a6395
124641354
132a55a53
141b1dc40
1512c1831
hexce54b0

13522096 has 40 divisors (see below), whose sum is σ = 30171680. Its totient is φ = 5750784.

The previous prime is 13522079. The next prime is 13522133. The reversal of 13522096 is 69022531.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 17200 + ... + 17968.

It is an arithmetic number, because the mean of its divisors is an integer number (754292).

Almost surely, 213522096 is an apocalyptic number.

13522096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13522096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085840).

13522096 is an abundant number, since it is smaller than the sum of its proper divisors (16649584).

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

13522096 is a wasteful number, since it uses less digits than its factorization.

13522096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 13522096 is about 3677.2402695500. The cubic root of 13522096 is about 238.2399951829.

The spelling of 13522096 in words is "thirteen million, five hundred twenty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 769 1099 1256 1538 2198 2512 3076 4396 5383 6152 8792 10766 12304 17584 21532 43064 86128 120733 241466 482932 845131 965864 1690262 1931728 3380524 6761048 13522096