Search a number
-
+
32730012 = 22327235647
BaseRepresentation
bin111110011011…
…0101110011100
32021120212010200
41330312232130
531334330022
63125303500
7545125530
oct174665634
967525120
1032730012
11175255a7
12ab64b90
136a1c793
1444bdbc0
152d17bac
hex1f36b9c

32730012 has 72 divisors (see below), whose sum is σ = 98681856. Its totient is φ = 8943264.

The previous prime is 32730011. The next prime is 32730023. The reversal of 32730012 is 21003723.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32730011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2973 + ... + 8619.

Almost surely, 232730012 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 32730012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49340928).

32730012 is an abundant number, since it is smaller than the sum of its proper divisors (65951844).

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

32730012 is a wasteful number, since it uses less digits than its factorization.

32730012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5687 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 32730012 is about 5721.0149449202. The cubic root of 32730012 is about 319.8762933291.

Adding to 32730012 its reverse (21003723), we get a palindrome (53733735).

The spelling of 32730012 in words is "thirty-two million, seven hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5647 5796 11294 16941 22588 33882 39529 50823 67764 79058 101646 118587 129881 158116 203292 237174 259762 355761 389643 474348 519524 711522 779286 909167 1168929 1423044 1558572 1818334 2337858 2727501 3636668 4675716 5455002 8182503 10910004 16365006 32730012