Search a number
-
+
139628800 = 285221817
BaseRepresentation
bin10000101001010…
…01000100000000
3100201201212201001
420110221010000
5241221110200
621504421344
73313553023
oct1024510400
9321655631
10139628800
11718a9203
123a917854
1322c0a3bc
14147891ba
15c3d176a
hex8529100

139628800 has 54 divisors (see below), whose sum is σ = 345618938. Its totient is φ = 55848960.

The previous prime is 139628773. The next prime is 139628833. The reversal of 139628800 is 8826931.

It can be written as a sum of positive squares in 3 ways, for example, as 15618304 + 124010496 = 3952^2 + 11136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 139628800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4509 + ... + 17308.

Almost surely, 2139628800 is an apocalyptic number.

139628800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

139628800 is an abundant number, since it is smaller than the sum of its proper divisors (205990138).

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

139628800 is an equidigital number, since it uses as much as digits as its factorization.

139628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21843 (or 21824 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 139628800 is about 11816.4630918054. The cubic root of 139628800 is about 518.7900864169.

The spelling of 139628800 in words is "one hundred thirty-nine million, six hundred twenty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 21817 43634 87268 109085 174536 218170 349072 436340 545425 698144 872680 1090850 1396288 1745360 2181700 2792576 3490720 4363400 5585152 6981440 8726800 13962880 17453600 27925760 34907200 69814400 139628800