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9975141 = 3211175927
BaseRepresentation
bin100110000011…
…010101100101
3200202210022200
4212003111211
510023201031
6553445113
7150534021
oct46032545
920683280
109975141
1156a3520
123410799
1320b3467
141479381
15d208e6
hex983565

9975141 has 24 divisors (see below), whose sum is σ = 16645824. Its totient is φ = 5688960.

The previous prime is 9975131. The next prime is 9975157. The reversal of 9975141 is 1415799.

It is not a de Polignac number, because 9975141 - 25 = 9975109 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9975096 and 9975105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975131) 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 23 ways as a sum of consecutive naturals, for example, 1281 + ... + 4646.

It is an arithmetic number, because the mean of its divisors is an integer number (693576).

Almost surely, 29975141 is an apocalyptic number.

It is an amenable number.

9975141 is a deficient number, since it is larger than the sum of its proper divisors (6670683).

9975141 is a wasteful number, since it uses less digits than its factorization.

9975141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5958 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 9975141 is about 3158.3446613693. The cubic root of 9975141 is about 215.2647972280.

The spelling of 9975141 in words is "nine million, nine hundred seventy-five thousand, one hundred forty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 5927 17781 53343 65197 100759 195591 302277 586773 906831 1108349 3325047 9975141