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13140648 = 2332182509
BaseRepresentation
bin110010001000…
…001010101000
3220201121120200
4302020022220
511331000043
61145352200
7216456633
oct62101250
926647520
1013140648
117465844
124498660
132951241
141a60c1a
1512487d3
hexc882a8

13140648 has 24 divisors (see below), whose sum is σ = 35589450. Its totient is φ = 4380192.

The previous prime is 13140607. The next prime is 13140649. The reversal of 13140648 is 84604131.

13140648 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12404484 + 736164 = 3522^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×131406483 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13140649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91183 + ... + 91326.

Almost surely, 213140648 is an apocalyptic number.

13140648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13140648 is an abundant number, since it is smaller than the sum of its proper divisors (22448802).

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

13140648 is a wasteful number, since it uses less digits than its factorization.

13140648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182521 (or 182514 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13140648 is about 3625.0031724124. The cubic root of 13140648 is about 235.9784046121.

Adding to 13140648 its reverse (84604131), we get a palindrome (97744779).

The spelling of 13140648 in words is "thirteen million, one hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 182509 365018 547527 730036 1095054 1460072 1642581 2190108 3285162 4380216 6570324 13140648