Search a number
-
+
10088001 = 3271114557
BaseRepresentation
bin100110011110…
…111001000001
3200222112010200
4212132321001
510040304001
61000115413
7151514040
oct46367101
920875120
1010088001
1157702a0
123465b69
132122941
1414a8557
15d44086
hex99ee41

10088001 has 24 divisors (see below), whose sum is σ = 18168384. Its totient is φ = 5240160.

The previous prime is 10087963. The next prime is 10088003.

It is a happy number.

10088001 is nontrivially palindromic in base 5 and base 10.

10088001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10088001 - 27 = 10087873 is a prime.

10088001 is a strobogrammatic number because it is the same when read upside-down.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6586 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (757016).

Almost surely, 210088001 is an apocalyptic number.

10088001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10088001 is a deficient number, since it is larger than the sum of its proper divisors (8080383).

10088001 is a wasteful number, since it uses less digits than its factorization.

10088001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10088001 is about 3176.1613623996. The cubic root of 10088001 is about 216.0735988906.

It can be divided in two parts, 1008 and 8001, that added together give a palindrome (9009).

The spelling of 10088001 in words is "ten million, eighty-eight thousand, one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 14557 43671 101899 131013 160127 305697 480381 917091 1120889 1441143 3362667 10088001