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13752128 = 261316529
BaseRepresentation
bin110100011101…
…011101000000
3221212200101002
4310131131000
512010032003
61210431132
7224614445
oct64353500
927780332
1013752128
1178431a5
1247324a8
132b06670
141b7d9cc
151319a88
hexd1d740

13752128 has 28 divisors (see below), whose sum is σ = 29390340. Its totient is φ = 6346752.

The previous prime is 13752113. The next prime is 13752157. The reversal of 13752128 is 82125731.

It can be written as a sum of positive squares in 2 ways, for example, as 7441984 + 6310144 = 2728^2 + 2512^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13752128.

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 3 ways as a sum of consecutive naturals, for example, 7433 + ... + 9096.

It is an arithmetic number, because the mean of its divisors is an integer number (1049655).

Almost surely, 213752128 is an apocalyptic number.

It is an amenable number.

13752128 is an abundant number, since it is smaller than the sum of its proper divisors (15638212).

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

13752128 is a wasteful number, since it uses less digits than its factorization.

13752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 16544 counting only the distinct ones).

The product of its digits is 3360, while the sum is 29.

The square root of 13752128 is about 3708.3861719082. The cubic root of 13752128 is about 239.5833511750.

Adding to 13752128 its reverse (82125731), we get a palindrome (95877859).

The spelling of 13752128 in words is "thirteen million, seven hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 16529 33058 66116 132232 214877 264464 429754 528928 859508 1057856 1719016 3438032 6876064 13752128