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32664680 = 2353132609
BaseRepresentation
bin111110010011…
…0110001101000
32021110112111222
41330212301220
531330232210
63124041212
7544434206
oct174466150
967415458
1032664680
1117490504
12ab33208
1369c8b19
1444a4076
152d03655
hex1f26c68

32664680 has 32 divisors (see below), whose sum is σ = 73758600. Its totient is φ = 13019136.

The previous prime is 32664677. The next prime is 32664689. The reversal of 32664680 is 8646623.

It can be written as a sum of positive squares in 4 ways, for example, as 15007876 + 17656804 = 3874^2 + 4202^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 32664680.

It is not an unprimeable number, because it can be changed into a prime (32664689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11216 + ... + 13824.

Almost surely, 232664680 is an apocalyptic number.

It is an amenable number.

32664680 is an abundant number, since it is smaller than the sum of its proper divisors (41093920).

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

32664680 is a wasteful number, since it uses less digits than its factorization.

32664680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 32664680 is about 5715.3022667222. The cubic root of 32664680 is about 319.6633177651.

The spelling of 32664680 in words is "thirty-two million, six hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 2609 3130 5218 6260 10436 12520 13045 20872 26090 52180 104360 816617 1633234 3266468 4083085 6532936 8166170 16332340 32664680