Search a number
-
+
107116940 = 22572109303
BaseRepresentation
bin1100110001001…
…11100110001100
321110120002211002
412120213212030
5204410220230
614343515432
72440323200
oct630474614
9243502732
10107116940
11555125a7
122ba58b78
1319266008
1410324b00
15960d545
hex662798c

107116940 has 36 divisors (see below), whose sum is σ = 261673776. Its totient is φ = 36725472.

The previous prime is 107116937. The next prime is 107116993. The reversal of 107116940 is 49611701.

It is a super-2 number, since 2×1071169402 = 22948077669927200, which contains 22 as substring.

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, 53672 + ... + 55631.

It is an arithmetic number, because the mean of its divisors is an integer number (7268716).

Almost surely, 2107116940 is an apocalyptic number.

107116940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107116940 is an abundant number, since it is smaller than the sum of its proper divisors (154556836).

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

107116940 is a wasteful number, since it uses less digits than its factorization.

107116940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109326 (or 109317 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 107116940 is about 10349.7313974808. The cubic root of 107116940 is about 474.9188263874.

The spelling of 107116940 in words is "one hundred seven million, one hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 109303 218606 437212 546515 765121 1093030 1530242 2186060 3060484 3825605 5355847 7651210 10711694 15302420 21423388 26779235 53558470 107116940