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9890881 = 7111341241
BaseRepresentation
bin100101101110…
…110001000001
3200121111201221
4211232301001
510013002011
6551555041
7150033250
oct45566101
920544657
109890881
115646190
12338ba81
132083cc0
141456797
15d05971
hex96ec41

9890881 has 32 divisors (see below), whose sum is σ = 13660416. Its totient is φ = 6912000.

The previous prime is 9890873. The next prime is 9890899. The reversal of 9890881 is 1880989.

It is a 3-Lehmer number, since φ(9890881) divides (9890881-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 9890881 - 23 = 9890873 is a prime.

It is a super-2 number, since 2×98908812 = 195659053912322, which contains 22 as substring.

It is a deceptive number, since it divides R9890880.

9890881 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9890081) 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 31 ways as a sum of consecutive naturals, for example, 40921 + ... + 41161.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

It is a Poulet number, since it divides 29890880-1.

Almost surely, 29890881 is an apocalyptic number.

9890881 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

9890881 is a deficient number, since it is larger than the sum of its proper divisors (3769535).

9890881 is a wasteful number, since it uses less digits than its factorization.

9890881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 41472, while the sum is 43.

The square root of 9890881 is about 3144.9771064350. The cubic root of 9890881 is about 214.6569687610.

The spelling of 9890881 in words is "nine million, eight hundred ninety thousand, eight hundred eighty-one".

Divisors: 1 7 11 13 41 77 91 143 241 287 451 533 1001 1687 2651 3133 3157 3731 5863 9881 18557 21931 34463 41041 69167 108691 128453 241241 760837 899171 1412983 9890881