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13231400 = 2352713727
BaseRepresentation
bin110010011110…
…010100101000
3220220020001212
4302132110220
511341401100
61151332252
7220315340
oct62362450
926806055
1013231400
117517a46
124521088
132983640
141a85d20
151265635
hexc9e528

13231400 has 96 divisors (see below), whose sum is σ = 37914240. Its totient is φ = 4181760.

The previous prime is 13231373. The next prime is 13231411. The reversal of 13231400 is 413231.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 17837 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 213231400 is an apocalyptic number.

13231400 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 13231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957120).

13231400 is an abundant number, since it is smaller than the sum of its proper divisors (24682840).

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

13231400 is a wasteful number, since it uses less digits than its factorization.

13231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13231400 is about 3637.4991408934. The cubic root of 13231400 is about 236.5203971758.

Adding to 13231400 its reverse (413231), we get a palindrome (13644631).

It can be divided in two parts, 13231 and 400, that added together give a palindrome (13631).

The spelling of 13231400 in words is "thirteen million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 727 728 910 1300 1400 1454 1820 2275 2600 2908 3635 3640 4550 5089 5816 7270 9100 9451 10178 14540 18175 18200 18902 20356 25445 29080 36350 37804 40712 47255 50890 66157 72700 75608 94510 101780 127225 132314 145400 189020 203560 236275 254450 264628 330785 378040 472550 508900 529256 661570 945100 1017800 1323140 1653925 1890200 2646280 3307850 6615700 13231400