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13232080 = 245193857
BaseRepresentation
bin110010011110…
…011111010000
3220220021000001
4302132133100
511341411310
61151335344
7220320331
oct62363720
926807001
1013232080
117518504
124521554
132983a44
141a86288
15126593a
hexc9e7d0

13232080 has 40 divisors (see below), whose sum is σ = 30960072. Its totient is φ = 5259264.

The previous prime is 13232041. The next prime is 13232099. The reversal of 13232080 is 8023231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 10810944 = 1556^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×132320802 = 350175882252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15012 + ... + 15868.

Almost surely, 213232080 is an apocalyptic number.

13232080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13232080 is an abundant number, since it is smaller than the sum of its proper divisors (17727992).

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

13232080 is a wasteful number, since it uses less digits than its factorization.

13232080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13232080 is about 3637.5926105049. The cubic root of 13232080 is about 236.5244489293.

It can be divided in two parts, 1323 and 2080, that added together give a triangular number (3403 = T82).

The spelling of 13232080 in words is "thirteen million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 857 965 1544 1714 1930 3088 3428 3860 4285 6856 7720 8570 13712 15440 17140 34280 68560 165401 330802 661604 827005 1323208 1654010 2646416 3308020 6616040 13232080