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32880012 = 223112231117
BaseRepresentation
bin111110101101…
…1010110001100
32021212110220020
41331123112030
531404130022
63132422140
7546322044
oct175332614
967773806
1032880012
1117618270
12b017950
136a72b39
14451c724
152d4735c
hex1f5b58c

32880012 has 48 divisors (see below), whose sum is σ = 84145152. Its totient is φ = 9910080.

The previous prime is 32880011. The next prime is 32880017. The reversal of 32880012 is 21008823.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32880011) 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, 28878 + ... + 29994.

It is an arithmetic number, because the mean of its divisors is an integer number (1753024).

Almost surely, 232880012 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 32880012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42072576).

32880012 is an abundant number, since it is smaller than the sum of its proper divisors (51265140).

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

32880012 is a wasteful number, since it uses less digits than its factorization.

32880012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 32880012 is about 5734.1095211026. The cubic root of 32880012 is about 320.3642077159.

Adding to 32880012 its reverse (21008823), we get a palindrome (53888835).

The spelling of 32880012 in words is "thirty-two million, eight hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 223 446 669 892 1117 1338 2234 2453 2676 3351 4468 4906 6702 7359 9812 12287 13404 14718 24574 29436 36861 49148 73722 147444 249091 498182 747273 996364 1494546 2740001 2989092 5480002 8220003 10960004 16440006 32880012