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10005023 = 72362143
BaseRepresentation
bin100110001010…
…101000011111
3200211022022102
4212022220133
510030130043
6554235315
7151020110
oct46125037
920738272
1010005023
115713a16
123425b3b
1320c3c42
141486207
15d296b8
hex98aa1f

10005023 has 8 divisors (see below), whose sum is σ = 11931648. Its totient is φ = 8202744.

The previous prime is 10005019. The next prime is 10005041. The reversal of 10005023 is 32050001.

10005023 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005023 - 22 = 10005019 is a prime.

It is a Duffinian number.

10005023 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10004995 and 10005013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30911 + ... + 31232.

It is an arithmetic number, because the mean of its divisors is an integer number (1491456).

Almost surely, 210005023 is an apocalyptic number.

10005023 is a deficient number, since it is larger than the sum of its proper divisors (1926625).

10005023 is an equidigital number, since it uses as much as digits as its factorization.

10005023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62173.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 10005023 is about 3163.0717664953. The cubic root of 10005023 is about 215.4795353833.

Adding to 10005023 its reverse (32050001), we get a palindrome (42055024).

The spelling of 10005023 in words is "ten million, five thousand, twenty-three".

Divisors: 1 7 23 161 62143 435001 1429289 10005023