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13752756 = 2232382021
BaseRepresentation
bin110100011101…
…100110110100
3221212201020100
4310131212310
512010042011
61210434100
7224616333
oct64354664
927781210
1013752756
117843716
124732930
132b06a34
141b7dd1a
151319d56
hexd1d9b4

13752756 has 18 divisors (see below), whose sum is σ = 34764002. Its totient is φ = 4584240.

The previous prime is 13752737. The next prime is 13752763. The reversal of 13752756 is 65725731.

It can be written as a sum of positive squares in only one way, i.e., 11696400 + 2056356 = 3420^2 + 1434^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 382021 = 13752756 / (1 + 3 + 7 + 5 + 2 + 7 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 13752756.

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 5 ways as a sum of consecutive naturals, for example, 190975 + ... + 191046.

Almost surely, 213752756 is an apocalyptic number.

It is an amenable number.

13752756 is an abundant number, since it is smaller than the sum of its proper divisors (21011246).

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

13752756 is a wasteful number, since it uses less digits than its factorization.

13752756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382031 (or 382026 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 13752756 is about 3708.4708438924. The cubic root of 13752756 is about 239.5869980301.

The spelling of 13752756 in words is "thirteen million, seven hundred fifty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 382021 764042 1146063 1528084 2292126 3438189 4584252 6876378 13752756