Search a number
-
+
107075620 = 22511174793
BaseRepresentation
bin1100110000111…
…01100000100100
321110111000010201
412120131200210
5204402404440
614343000244
72440061551
oct630354044
9243430121
10107075620
1155494553
122ba39084
1319250272
1410313a28
15960119a
hex661d824

107075620 has 24 divisors (see below), whose sum is σ = 225107064. Its totient is φ = 42782976.

The previous prime is 107075599. The next prime is 107075629. The reversal of 107075620 is 26570701.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 101082916 = 2448^2 + 10054^2 .

It is a super-2 number, since 2×1070756202 = 22930376796768800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107075629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19944 + ... + 24736.

It is an arithmetic number, because the mean of its divisors is an integer number (9379461).

Almost surely, 2107075620 is an apocalyptic number.

107075620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107075620 is an abundant number, since it is smaller than the sum of its proper divisors (118031444).

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

107075620 is a wasteful number, since it uses less digits than its factorization.

107075620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 107075620 is about 10347.7350178674. The cubic root of 107075620 is about 474.8577524194.

The spelling of 107075620 in words is "one hundred seven million, seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 1117 2234 4468 4793 5585 9586 11170 19172 22340 23965 47930 95860 5353781 10707562 21415124 26768905 53537810 107075620