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13140032 = 263137179
BaseRepresentation
bin110010001000…
…000001000000
3220201120201212
4302020001000
511330440112
61145345252
7216455063
oct62100100
926646655
1013140032
117465334
124498228
132950b89
141a608da
151248522
hexc88040

13140032 has 56 divisors (see below), whose sum is σ = 27797760. Its totient is φ = 6151680.

The previous prime is 13140013. The next prime is 13140047. The reversal of 13140032 is 23004131.

It is a super-2 number, since 2×131400322 = 345320881922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13139989 and 13140016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73319 + ... + 73497.

Almost surely, 213140032 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 13140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13898880).

13140032 is an abundant number, since it is smaller than the sum of its proper divisors (14657728).

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

13140032 is a wasteful number, since it uses less digits than its factorization.

13140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13140032 is about 3624.9182059738. The cubic root of 13140032 is about 235.9747171996.

Adding to 13140032 its reverse (23004131), we get a palindrome (36144163).

The spelling of 13140032 in words is "thirteen million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 179 248 296 358 496 592 716 992 1147 1184 1432 1984 2294 2368 2864 4588 5549 5728 6623 9176 11098 11456 13246 18352 22196 26492 36704 44392 52984 73408 88784 105968 177568 205313 211936 355136 410626 423872 821252 1642504 3285008 6570016 13140032