Search a number
-
+
107600080 = 2457227449
BaseRepresentation
bin1100110100111…
…01100011010000
321111110122120011
412122131203100
5210021200310
614402124304
72444404600
oct632354320
9244418504
10107600080
1155812595
1230050694
13193a4bb3
141040cc00
1596a678a
hex669d8d0

107600080 has 60 divisors (see below), whose sum is σ = 291024900. Its totient is φ = 36890112.

The previous prime is 107600071. The next prime is 107600093. The reversal of 107600080 is 80006701.

It can be written as a sum of positive squares in 2 ways, for example, as 60155536 + 47444544 = 7756^2 + 6888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9805 + ... + 17644.

It is an arithmetic number, because the mean of its divisors is an integer number (4850415).

Almost surely, 2107600080 is an apocalyptic number.

107600080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107600080 is an abundant number, since it is smaller than the sum of its proper divisors (183424820).

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

107600080 is a wasteful number, since it uses less digits than its factorization.

107600080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27476 (or 27463 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 107600080 is about 10373.0458400607. The cubic root of 107600080 is about 475.6317798192.

Adding to 107600080 its reverse (80006701), we get a palindrome (187606781).

The spelling of 107600080 in words is "one hundred seven million, six hundred thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 27449 54898 109796 137245 192143 219592 274490 384286 439184 548980 768572 960715 1097960 1345001 1537144 1921430 2195920 2690002 3074288 3842860 5380004 6725005 7685720 10760008 13450010 15371440 21520016 26900020 53800040 107600080