Search a number
-
+
10007019 = 3211101081
BaseRepresentation
bin100110001011…
…000111101011
3200211102001100
4212023013223
510030211034
6554252443
7151025661
oct46130753
920742040
1010007019
115715470
123427123
1320c4b19
141486c31
15d2a099
hex98b1eb

10007019 has 12 divisors (see below), whose sum is σ = 15768792. Its totient is φ = 6064800.

The previous prime is 10006987. The next prime is 10007021. The reversal of 10007019 is 91070001.

It is not a de Polignac number, because 10007019 - 25 = 10006987 is a prime.

It is a super-2 number, since 2×100070192 = 200280858532722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10006992 and 10007010.

It is not an unprimeable number, because it can be changed into a prime (10007419) 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 11 ways as a sum of consecutive naturals, for example, 50442 + ... + 50639.

It is an arithmetic number, because the mean of its divisors is an integer number (1314066).

Almost surely, 210007019 is an apocalyptic number.

10007019 is a deficient number, since it is larger than the sum of its proper divisors (5761773).

10007019 is a wasteful number, since it uses less digits than its factorization.

10007019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101098 (or 101095 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 10007019 is about 3163.3872668391. The cubic root of 10007019 is about 215.4938638046.

The spelling of 10007019 in words is "ten million, seven thousand, nineteen".

Divisors: 1 3 9 11 33 99 101081 303243 909729 1111891 3335673 10007019