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13040144 = 241371883
BaseRepresentation
bin110001101111…
…101000010000
3220112111201022
4301233220100
511314241034
61143255012
7215560625
oct61575020
926474638
1013040144
1173a7287
12444a468
132917580
141a3634c
151228b2e
hexc6fa10

13040144 has 40 divisors (see below), whose sum is σ = 27623232. Its totient is φ = 5927040.

The previous prime is 13040141. The next prime is 13040161. The reversal of 13040144 is 44104031.

It is not an unprimeable number, because it can be changed into a prime (13040141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14327 + ... + 15209.

Almost surely, 213040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811616).

13040144 is an abundant number, since it is smaller than the sum of its proper divisors (14583088).

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

13040144 is a wasteful number, since it uses less digits than its factorization.

13040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 13040144 is about 3611.1139555544. The cubic root of 13040144 is about 235.3752507855.

Adding to 13040144 its reverse (44104031), we get a palindrome (57144175).

The spelling of 13040144 in words is "thirteen million, forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 71 104 142 208 284 568 883 923 1136 1766 1846 3532 3692 7064 7384 11479 14128 14768 22958 45916 62693 91832 125386 183664 250772 501544 815009 1003088 1630018 3260036 6520072 13040144