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13140144 = 243410139
BaseRepresentation
bin110010001000…
…000010110000
3220201120220000
4302020002300
511330441034
61145350000
7216455313
oct62100260
926646800
1013140144
117465426
124498300
132950c44
141a6097a
151248599
hexc880b0

13140144 has 50 divisors (see below), whose sum is σ = 38035140. Its totient is φ = 4379616.

The previous prime is 13140137. The next prime is 13140151. The reversal of 13140144 is 44104131.

It is an interprime number because it is at equal distance from previous prime (13140137) and next prime (13140151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3774 + ... + 6365.

Almost surely, 213140144 is an apocalyptic number.

It is an amenable number.

13140144 is an abundant number, since it is smaller than the sum of its proper divisors (24894996).

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

13140144 is a wasteful number, since it uses less digits than its factorization.

13140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13140144 is about 3624.9336545653. The cubic root of 13140144 is about 235.9753876468.

Adding to 13140144 its reverse (44104131), we get a palindrome (57244275).

The spelling of 13140144 in words is "thirteen million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10139 20278 30417 40556 60834 81112 91251 121668 162224 182502 243336 273753 365004 486672 547506 730008 821259 1095012 1460016 1642518 2190024 3285036 4380048 6570072 13140144