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32068480 = 27589563
BaseRepresentation
bin111101001010…
…1001110000000
32020100020200111
41322111032000
531202142410
63103201104
7536402053
oct172251600
966306614
1032068480
1117113584
12a8a6194
13684a642
14438aa9a
152c36b8a
hex1e95380

32068480 has 64 divisors (see below), whose sum is σ = 77662800. Its totient is φ = 12660736.

The previous prime is 32068459. The next prime is 32068481. The reversal of 32068480 is 8486023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32068481) by changing a digit.

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, 56679 + ... + 57241.

Almost surely, 232068480 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 32068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831400).

32068480 is an abundant number, since it is smaller than the sum of its proper divisors (45594320).

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

32068480 is an equidigital number, since it uses as much as digits as its factorization.

32068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 32068480 is about 5662.9038487334. The cubic root of 32068480 is about 317.7065182541.

The spelling of 32068480 in words is "thirty-two million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 563 640 712 890 1126 1424 1780 2252 2815 2848 3560 4504 5630 5696 7120 9008 11260 11392 14240 18016 22520 28480 36032 45040 50107 56960 72064 90080 100214 180160 200428 250535 360320 400856 501070 801712 1002140 1603424 2004280 3206848 4008560 6413696 8017120 16034240 32068480