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13204400 = 2452113001
BaseRepresentation
bin110010010111…
…101110110000
3220211212000212
4302113232300
511340020100
61151003252
7220143536
oct62275660
926755025
1013204400
1174a9730
124509528
132974271
141a7a156
15125c635
hexc97bb0

13204400 has 60 divisors (see below), whose sum is σ = 34619064. Its totient is φ = 4800000.

The previous prime is 13204381. The next prime is 13204409. The reversal of 13204400 is 440231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204409) 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 11 ways as a sum of consecutive naturals, for example, 2900 + ... + 5900.

Almost surely, 213204400 is an apocalyptic number.

13204400 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 13204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309532).

13204400 is an abundant number, since it is smaller than the sum of its proper divisors (21414664).

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

13204400 is a wasteful number, since it uses less digits than its factorization.

13204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 13204400 is about 3633.7859045354. The cubic root of 13204400 is about 236.3594064152.

Adding to 13204400 its reverse (440231), we get a palindrome (13644631).

The spelling of 13204400 in words is "thirteen million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 3001 4400 6002 12004 15005 24008 30010 33011 48016 60020 66022 75025 120040 132044 150050 165055 240080 264088 300100 330110 528176 600200 660220 825275 1200400 1320440 1650550 2640880 3301100 6602200 13204400