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13214400 = 263522753
BaseRepresentation
bin110010011010…
…001011000000
3220212100202020
4302122023000
511340330100
61151121440
7220214643
oct62321300
926770666
1013214400
1175061a1
124513280
132978994
141a7da5a
1512605a0
hexc9a2c0

13214400 has 84 divisors (see below), whose sum is σ = 43369992. Its totient is φ = 3522560.

The previous prime is 13214371. The next prime is 13214413. The reversal of 13214400 is 441231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13214400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3424 + ... + 6176.

Almost surely, 213214400 is an apocalyptic number.

13214400 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 13214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684996).

13214400 is an abundant number, since it is smaller than the sum of its proper divisors (30155592).

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

13214400 is a wasteful number, since it uses less digits than its factorization.

13214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13214400 is about 3635.1616195157. The cubic root of 13214400 is about 236.4190581891.

Adding to 13214400 its reverse (441231), we get a palindrome (13655631).

The spelling of 13214400 in words is "thirteen million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 2753 4800 5506 8259 11012 13765 16518 22024 27530 33036 41295 44048 55060 66072 68825 82590 88096 110120 132144 137650 165180 176192 206475 220240 264288 275300 330360 412950 440480 528576 550600 660720 825900 880960 1101200 1321440 1651800 2202400 2642880 3303600 4404800 6607200 13214400