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13896180 = 2232577201
BaseRepresentation
bin110101000000…
…100111110100
3222010222222100
4311000213310
512024134210
61213502100
7226054434
oct65004764
928128870
1013896180
117931451
1247a1930
132b570bc
141bba2c4
1513475c0
hexd409f4

13896180 has 36 divisors (see below), whose sum is σ = 42152292. Its totient is φ = 3705600.

The previous prime is 13896167. The next prime is 13896217. The reversal of 13896180 is 8169831.

13896180 is a `hidden beast` number, since 1 + 38 + 9 + 618 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 11573604 = 1524^2 + 3402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 38421 + ... + 38780.

It is an arithmetic number, because the mean of its divisors is an integer number (1170897).

Almost surely, 213896180 is an apocalyptic number.

13896180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13896180 is an abundant number, since it is smaller than the sum of its proper divisors (28256112).

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

13896180 is a wasteful number, since it uses less digits than its factorization.

13896180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77216 (or 77211 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 13896180 is about 3727.7580393582. The cubic root of 13896180 is about 240.4169834338.

It can be divided in two parts, 1389 and 6180, that added together give a square (7569 = 872).

The spelling of 13896180 in words is "thirteen million, eight hundred ninety-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 77201 154402 231603 308804 386005 463206 694809 772010 926412 1158015 1389618 1544020 2316030 2779236 3474045 4632060 6948090 13896180