Search a number
-
+
9901251 = 33366713
BaseRepresentation
bin100101110001…
…010011000011
3200122000222000
4211301103003
510013320001
6552115043
7150105423
oct45612303
920560860
109901251
115652a58
123395a83
132088939
14145a483
15d08a86
hex9714c3

9901251 has 8 divisors (see below), whose sum is σ = 14668560. Its totient is φ = 6600816.

The previous prime is 9901231. The next prime is 9901253. The reversal of 9901251 is 1521099.

It is a happy number.

It is not a de Polignac number, because 9901251 - 25 = 9901219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 366713 = 9901251 / (9 + 9 + 0 + 1 + 2 + 5 + 1).

9901251 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9901253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183330 + ... + 183383.

It is an arithmetic number, because the mean of its divisors is an integer number (1833570).

Almost surely, 29901251 is an apocalyptic number.

9901251 is a deficient number, since it is larger than the sum of its proper divisors (4767309).

9901251 is a wasteful number, since it uses less digits than its factorization.

9901251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366722 (or 366716 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 9901251 is about 3146.6253351805. The cubic root of 9901251 is about 214.7319609105.

The spelling of 9901251 in words is "nine million, nine hundred one thousand, two hundred fifty-one".

Divisors: 1 3 9 27 366713 1100139 3300417 9901251