Search a number
-
+
32066320 = 24511132803
BaseRepresentation
bin111101001010…
…0101100010000
32020100010201111
41322110230100
531202110240
63103143104
7536362546
oct172245420
966303644
1032066320
11171119a0
12a8a4a94
136849670
144389d96
152c361ea
hex1e94b10

32066320 has 80 divisors (see below), whose sum is σ = 87619392. Its totient is φ = 10759680.

The previous prime is 32066317. The next prime is 32066341. The reversal of 32066320 is 2366023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 32066291 and 32066300.

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 15 ways as a sum of consecutive naturals, for example, 10039 + ... + 12841.

Almost surely, 232066320 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 32066320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43809696).

32066320 is an abundant number, since it is smaller than the sum of its proper divisors (55553072).

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

32066320 is a wasteful number, since it uses less digits than its factorization.

32066320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 32066320 is about 5662.7131306468. The cubic root of 32066320 is about 317.6993849622.

The spelling of 32066320 in words is "thirty-two million, sixty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2803 2860 5606 5720 11212 11440 14015 22424 28030 30833 36439 44848 56060 61666 72878 112120 123332 145756 154165 182195 224240 246664 291512 308330 364390 400829 493328 583024 616660 728780 801658 1233320 1457560 1603316 2004145 2466640 2915120 3206632 4008290 6413264 8016580 16033160 32066320