Search a number
-
+
10097085 = 351813719
BaseRepresentation
bin100110100001…
…000110111101
3200222222121010
4212201012331
510041101320
61000225433
7151552365
oct46410675
920888533
1010097085
1157770a9
12346b279
132126b0b
1414ab9a5
15d46ae0
hex9a11bd

10097085 has 16 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 5353920.

The previous prime is 10097081. The next prime is 10097089. The reversal of 10097085 is 58079001.

10097085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10097081) and next prime (10097089).

It is not a de Polignac number, because 10097085 - 22 = 10097081 is a prime.

It is a super-2 number, since 2×100970852 = 203902250994450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10097081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 210097085 is an apocalyptic number.

10097085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10097085 is a deficient number, since it is larger than the sum of its proper divisors (6151875).

10097085 is a wasteful number, since it uses less digits than its factorization.

10097085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 10097085 is about 3177.5910687186. The cubic root of 10097085 is about 216.1384357766.

The spelling of 10097085 in words is "ten million, ninety-seven thousand, eighty-five".

Divisors: 1 3 5 15 181 543 905 2715 3719 11157 18595 55785 673139 2019417 3365695 10097085