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10040251 = 1317181251
BaseRepresentation
bin100110010011…
…001110111011
3200220002122011
4212103032323
510032242001
6555110351
7151224604
oct46231673
920802564
1010040251
115738431
1234423b7
132106ca0
141494dab
15d34d51
hex9933bb

10040251 has 16 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 8640000.

The previous prime is 10040237. The next prime is 10040269. The reversal of 10040251 is 15204001.

It is a 9-Lehmer number, since φ(10040251) divides (10040251-1)9.

It is a cyclic number.

It is not a de Polignac number, because 10040251 - 27 = 10040123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10040221) 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, 39876 + ... + 40126.

It is an arithmetic number, because the mean of its divisors is an integer number (722358).

Almost surely, 210040251 is an apocalyptic number.

10040251 is a deficient number, since it is larger than the sum of its proper divisors (1517477).

10040251 is a wasteful number, since it uses less digits than its factorization.

10040251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462.

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10040251 is about 3168.6355107522. The cubic root of 10040251 is about 215.7321425380.

Adding to 10040251 its reverse (15204001), we get a palindrome (25244252).

The spelling of 10040251 in words is "ten million, forty thousand, two hundred fifty-one".

Divisors: 1 13 17 181 221 251 2353 3077 3263 4267 40001 45431 55471 590603 772327 10040251