Search a number
-
+
107003016 = 23321486153
BaseRepresentation
bin1100110000010…
…11110010001000
321110100022112200
412120023302020
5204343044031
614341240200
72436340101
oct630136210
9243308480
10107003016
1155444a4a
122ba03060
13192261c3
14102d53a8
1595d98e6
hex660bc88

107003016 has 24 divisors (see below), whose sum is σ = 289800030. Its totient is φ = 35667648.

The previous prime is 107002997. The next prime is 107003021. The reversal of 107003016 is 610300701.

It can be written as a sum of positive squares in only one way, i.e., 81540900 + 25462116 = 9030^2 + 5046^2 .

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

It is a super-2 number, since 2×1070030162 = 22899290866192512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 107003016.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 743005 + ... + 743148.

Almost surely, 2107003016 is an apocalyptic number.

It is an amenable number.

107003016 is an abundant number, since it is smaller than the sum of its proper divisors (182797014).

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

107003016 is a wasteful number, since it uses less digits than its factorization.

107003016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486165 (or 1486158 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107003016 is about 10344.2262156239. The cubic root of 107003016 is about 474.7504003517.

Adding to 107003016 its reverse (610300701), we get a palindrome (717303717).

The spelling of 107003016 in words is "one hundred seven million, three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1486153 2972306 4458459 5944612 8916918 11889224 13375377 17833836 26750754 35667672 53501508 107003016