Search a number
-
+
107706912 = 2531121947
BaseRepresentation
bin1100110101101…
…11101000100000
321111200002002220
412122313220200
5210033110122
614404311040
72445331215
oct632675040
9244602086
10107706912
1155885885
12300a2480
1319411701
1410439b0c
1596c825c
hex66b7a20

107706912 has 24 divisors (see below), whose sum is σ = 282730896. Its totient is φ = 35902272.

The previous prime is 107706871. The next prime is 107706913. The reversal of 107706912 is 219607701.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (107706913) 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 3 ways as a sum of consecutive naturals, for example, 560878 + ... + 561069.

It is an arithmetic number, because the mean of its divisors is an integer number (11780454).

Almost surely, 2107706912 is an apocalyptic number.

107706912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107706912 is an abundant number, since it is smaller than the sum of its proper divisors (175023984).

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

107706912 is a wasteful number, since it uses less digits than its factorization.

107706912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121960 (or 1121952 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 107706912 is about 10378.1940625525. The cubic root of 107706912 is about 475.7891399467.

The spelling of 107706912 in words is "one hundred seven million, seven hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1121947 2243894 3365841 4487788 6731682 8975576 13463364 17951152 26926728 35902304 53853456 107706912