Search a number
-
+
32080672 = 2513671151
BaseRepresentation
bin111101001100…
…0001100100000
32020100212102001
41322120030200
531203040142
63103333344
7536452441
oct172301440
966325361
1032080672
1117121758
12a8b1254
136853060
1443912c8
152c3a5b7
hex1e98320

32080672 has 48 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 14572800.

The previous prime is 32080669. The next prime is 32080679. The reversal of 32080672 is 27608023.

It is a self number, because there is not a number n which added to its sum of digits gives 32080672.

It is not an unprimeable number, because it can be changed into a prime (32080679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27297 + ... + 28447.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 232080672 is an apocalyptic number.

32080672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32080672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176).

32080672 is an abundant number, since it is smaller than the sum of its proper divisors (37011680).

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

32080672 is a wasteful number, since it uses less digits than its factorization.

32080672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 32080672 is about 5663.9802259542. The cubic root of 32080672 is about 317.7467757187.

Adding to 32080672 its reverse (27608023), we get a palindrome (59688695).

The spelling of 32080672 in words is "thirty-two million, eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1072 1151 1742 2144 2302 3484 4604 6968 9208 13936 14963 18416 27872 29926 36832 59852 77117 119704 154234 239408 308468 478816 616936 1002521 1233872 2005042 2467744 4010084 8020168 16040336 32080672