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13230400 = 26528269
BaseRepresentation
bin110010011110…
…000101000000
3220220011200211
4302132011000
511341333100
61151323504
7220312411
oct62360500
926804624
1013230400
117517217
124520594
132983051
141a85808
1512651ba
hexc9e140

13230400 has 42 divisors (see below), whose sum is σ = 32558990. Its totient is φ = 5291520.

The previous prime is 13230391. The next prime is 13230419. The reversal of 13230400 is 403231.

It can be written as a sum of positive squares in 3 ways, for example, as 3041536 + 10188864 = 1744^2 + 3192^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2535 + ... + 5734.

Almost surely, 213230400 is an apocalyptic number.

13230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13230400 is an abundant number, since it is smaller than the sum of its proper divisors (19328590).

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

13230400 is an equidigital number, since it uses as much as digits as its factorization.

13230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8276 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 13230400 is about 3637.3616812190. The cubic root of 13230400 is about 236.5144384625.

Adding to 13230400 its reverse (403231), we get a palindrome (13633631).

The spelling of 13230400 in words is "thirteen million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 8269 16538 33076 41345 66152 82690 132304 165380 206725 264608 330760 413450 529216 661520 826900 1323040 1653800 2646080 3307600 6615200 13230400