Search a number
-
+
107007700 = 22523728921
BaseRepresentation
bin1100110000011…
…00111011010100
321110100112222011
412120030323110
5204343221300
614341314004
72436356542
oct630147324
9243315864
10107007700
1155448518
122ba05904
1319228387
14102d6d92
1595daeba
hex660ced4

107007700 has 36 divisors (see below), whose sum is σ = 238490812. Its totient is φ = 41644800.

The previous prime is 107007683. The next prime is 107007701. The reversal of 107007700 is 7700701.

It can be written as a sum of positive squares in 6 ways, for example, as 4674244 + 102333456 = 2162^2 + 10116^2 .

It is a super-2 number, since 2×1070077002 = 22901295718580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107007701) by changing a digit.

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, 10761 + ... + 18160.

Almost surely, 2107007700 is an apocalyptic number.

107007700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107007700 is an abundant number, since it is smaller than the sum of its proper divisors (131483112).

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

107007700 is a wasteful number, since it uses less digits than its factorization.

107007700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28972 (or 28965 counting only the distinct ones).

The product of its (nonzero) digits is 343, while the sum is 22.

The square root of 107007700 is about 10344.4526196411. The cubic root of 107007700 is about 474.7573275659.

The spelling of 107007700 in words is "one hundred seven million, seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 28921 57842 115684 144605 289210 578420 723025 1070077 1446050 2140154 2892100 4280308 5350385 10700770 21401540 26751925 53503850 107007700