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13288140 = 2232573823
BaseRepresentation
bin110010101100…
…001011001100
3221000002220100
4302230023030
511400210030
61152451100
7220642635
oct62541314
927002810
1013288140
117556638
124549a90
1329a3408
141a9c88c
151277360
hexcac2cc

13288140 has 36 divisors (see below), whose sum is σ = 40307904. Its totient is φ = 3543456.

The previous prime is 13288139. The next prime is 13288153. The reversal of 13288140 is 4188231.

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

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, 36732 + ... + 37091.

It is an arithmetic number, because the mean of its divisors is an integer number (1119664).

Almost surely, 213288140 is an apocalyptic number.

13288140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13288140 is an abundant number, since it is smaller than the sum of its proper divisors (27019764).

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

13288140 is a wasteful number, since it uses less digits than its factorization.

13288140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73838 (or 73833 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 13288140 is about 3645.2901119115. The cubic root of 13288140 is about 236.8580039230.

Subtracting from 13288140 its reverse (4188231), we obtain a palindrome (9099909).

The spelling of 13288140 in words is "thirteen million, two hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 73823 147646 221469 295292 369115 442938 664407 738230 885876 1107345 1328814 1476460 2214690 2657628 3322035 4429380 6644070 13288140