Search a number
-
+
107019328 = 2613128629
BaseRepresentation
bin1100110000011…
…11110001000000
321110101010220211
412120033301000
5204344104303
614341443504
72436435463
oct630176100
9243333824
10107019328
1155456229
122ba10594
1319230760
14102db2da
1595de66d
hex660fc40

107019328 has 28 divisors (see below), whose sum is σ = 228704140. Its totient is φ = 49393152.

The previous prime is 107019323. The next prime is 107019337. The reversal of 107019328 is 823910701.

It can be written as a sum of positive squares in 2 ways, for example, as 45050944 + 61968384 = 6712^2 + 7872^2 .

It is a super-2 number, since 2×1070193282 = 22906273131143168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107019328.

It is not an unprimeable number, because it can be changed into a prime (107019323) 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 3 ways as a sum of consecutive naturals, for example, 63483 + ... + 65146.

It is an arithmetic number, because the mean of its divisors is an integer number (8168005).

Almost surely, 2107019328 is an apocalyptic number.

It is an amenable number.

107019328 is an abundant number, since it is smaller than the sum of its proper divisors (121684812).

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

107019328 is a wasteful number, since it uses less digits than its factorization.

107019328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128654 (or 128644 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 107019328 is about 10345.0146447456. The cubic root of 107019328 is about 474.7745234570.

The spelling of 107019328 in words is "one hundred seven million, nineteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 128629 257258 514516 1029032 1672177 2058064 3344354 4116128 6688708 8232256 13377416 26754832 53509664 107019328