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13140008 = 237415997
BaseRepresentation
bin110010001000…
…000000101000
3220201120200222
4302020000220
511330440013
61145345212
7216455030
oct62100050
926646628
1013140008
117465312
124498208
132950b6b
141a608c0
151248508
hexc88028

13140008 has 64 divisors (see below), whose sum is σ = 29635200. Its totient is φ = 5345280.

The previous prime is 13140007. The next prime is 13140011. The reversal of 13140008 is 80004131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13140007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135416 + ... + 135512.

It is an arithmetic number, because the mean of its divisors is an integer number (463050).

Almost surely, 213140008 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 13140008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817600).

13140008 is an abundant number, since it is smaller than the sum of its proper divisors (16495192).

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

13140008 is a wasteful number, since it uses less digits than its factorization.

13140008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 13140008 is about 3624.9148955527. The cubic root of 13140008 is about 235.9745735319.

Adding to 13140008 its reverse (80004131), we get a palindrome (93144139).

The spelling of 13140008 in words is "thirteen million, one hundred forty thousand, eight".

Divisors: 1 2 4 7 8 14 28 41 56 59 82 97 118 164 194 236 287 328 388 413 472 574 679 776 826 1148 1358 1652 2296 2419 2716 3304 3977 4838 5432 5723 7954 9676 11446 15908 16933 19352 22892 27839 31816 33866 40061 45784 55678 67732 80122 111356 135464 160244 222712 234643 320488 469286 938572 1642501 1877144 3285002 6570004 13140008