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13060032 = 263251271
BaseRepresentation
bin110001110100…
…011111000000
3220120111222220
4301310133000
511320410112
61143531040
7216002616
oct61643700
926514886
1013060032
117410217
124459a80
13292363b
141a3d6b6
15122e98c
hexc747c0

13060032 has 56 divisors (see below), whose sum is σ = 34820352. Its totient is φ = 4320000.

The previous prime is 13060013. The next prime is 13060057. The reversal of 13060032 is 23006031.

It is a junction number, because it is equal to n+sod(n) for n = 13059993 and 13060020.

It is a congruent number.

It is an unprimeable number.

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, 48057 + ... + 48327.

It is an arithmetic number, because the mean of its divisors is an integer number (621792).

Almost surely, 213060032 is an apocalyptic number.

13060032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410176).

13060032 is an abundant number, since it is smaller than the sum of its proper divisors (21760320).

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

13060032 is a wasteful number, since it uses less digits than its factorization.

13060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13060032 is about 3613.8666273121. The cubic root of 13060032 is about 235.4948498024.

Adding to 13060032 its reverse (23006031), we get a palindrome (36066063).

The spelling of 13060032 in words is "thirteen million, sixty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 271 502 542 753 813 1004 1084 1506 1626 2008 2168 3012 3252 4016 4336 6024 6504 8032 8672 12048 13008 16064 17344 24096 26016 48192 52032 68021 136042 204063 272084 408126 544168 816252 1088336 1632504 2176672 3265008 4353344 6530016 13060032