Search a number
-
+
106376680 = 2356143597
BaseRepresentation
bin1100101011100…
…10110111101000
321102011111101001
412111302313220
5204213023210
614320004344
72431121044
oct625626750
9242144331
10106376680
1155057413
122b7606b4
13190670a7
14101b1024
15951403a
hex6572de8

106376680 has 32 divisors (see below), whose sum is σ = 243276840. Its totient is φ = 41852160.

The previous prime is 106376659. The next prime is 106376681. The reversal of 106376680 is 86673601.

It can be written as a sum of positive squares in 4 ways, for example, as 20666116 + 85710564 = 4546^2 + 9258^2 .

It is a super-2 number, since 2×1063766802 = 22631996095644800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106376681) 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, 19359 + ... + 24238.

Almost surely, 2106376680 is an apocalyptic number.

106376680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106376680 is an abundant number, since it is smaller than the sum of its proper divisors (136900160).

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

106376680 is a wasteful number, since it uses less digits than its factorization.

106376680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43669 (or 43665 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 106376680 is about 10313.9071161224. The cubic root of 106376680 is about 473.8222790331.

The spelling of 106376680 in words is "one hundred six million, three hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 43597 87194 174388 217985 348776 435970 871940 1743880 2659417 5318834 10637668 13297085 21275336 26594170 53188340 106376680