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13232000 = 2753827
BaseRepresentation
bin110010011110…
…011110000000
3220220020220002
4302132132000
511341411000
61151335132
7220320155
oct62363600
926806802
1013232000
117518441
1245214a8
1329839b2
141a8622c
1512658d5
hexc9e780

13232000 has 64 divisors (see below), whose sum is σ = 32937840. Its totient is φ = 5286400.

The previous prime is 13231997. The next prime is 13232017. The reversal of 13232000 is 23231.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 15587 + ... + 16413.

Almost surely, 213232000 is an apocalyptic number.

13232000 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 13232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468920).

13232000 is an abundant number, since it is smaller than the sum of its proper divisors (19705840).

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

13232000 is an frugal number, since it uses more digits than its factorization.

13232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13232000 is about 3637.5816142047. The cubic root of 13232000 is about 236.5239722596.

Adding to 13232000 its reverse (23231), we get a palindrome (13255231).

The spelling of 13232000 in words is "thirteen million, two hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 827 1000 1600 1654 2000 3200 3308 4000 4135 6616 8000 8270 13232 16000 16540 20675 26464 33080 41350 52928 66160 82700 103375 105856 132320 165400 206750 264640 330800 413500 529280 661600 827000 1323200 1654000 2646400 3308000 6616000 13232000