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13327400 = 2352371801
BaseRepresentation
bin110010110101…
…110000101000
3221002002202102
4302311300220
511402434100
61153352532
7221165252
oct62656050
927062672
1013327400
117583089
124568748
1329b8248
141aaccd2
151283cd5
hexcb5c28

13327400 has 48 divisors (see below), whose sum is σ = 31841340. Its totient is φ = 5184000.

The previous prime is 13327399. The next prime is 13327403. The reversal of 13327400 is 472331.

It can be written as a sum of positive squares in 6 ways, for example, as 5044516 + 8282884 = 2246^2 + 2878^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13327403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6500 + ... + 8300.

Almost surely, 213327400 is an apocalyptic number.

13327400 is a gapful number since it is divisible by the number (10) 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 13327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15920670).

13327400 is an abundant number, since it is smaller than the sum of its proper divisors (18513940).

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

13327400 is a wasteful number, since it uses less digits than its factorization.

13327400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13327400 is about 3650.6711711684. The cubic root of 13327400 is about 237.0910413579.

Adding to 13327400 its reverse (472331), we get a palindrome (13799731).

The spelling of 13327400 in words is "thirteen million, three hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1801 1850 3602 3700 7204 7400 9005 14408 18010 36020 45025 66637 72040 90050 133274 180100 266548 333185 360200 533096 666370 1332740 1665925 2665480 3331850 6663700 13327400