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10000041 = 329137839
BaseRepresentation
bin100110001001…
…011010101001
3200211001110220
4212021122221
510030000131
6554200253
7150666432
oct46113251
920731426
1010000041
1157101a7
123423089
1320c18ac
141484489
15d27e96
hex9896a9

10000041 has 16 divisors (see below), whose sum is σ = 13910400. Its totient is φ = 6382208.

The previous prime is 10000019. The next prime is 10000079. The reversal of 10000041 is 14000001.

It is a cyclic number.

It is not a de Polignac number, because 10000041 - 223 = 1611433 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9999984 and 10000029.

It is not an unprimeable number, because it can be changed into a prime (10000141) 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 15 ways as a sum of consecutive naturals, for example, 11500 + ... + 12338.

It is an arithmetic number, because the mean of its divisors is an integer number (869400).

Almost surely, 210000041 is an apocalyptic number.

It is an amenable number.

10000041 is a deficient number, since it is larger than the sum of its proper divisors (3910359).

10000041 is a wasteful number, since it uses less digits than its factorization.

10000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10000041 is about 3162.2841428309. The cubic root of 10000041 is about 215.4437634422.

The spelling of 10000041 in words is "ten million, forty-one", and is thus an aban number and an uban number.

Divisors: 1 3 29 87 137 411 839 2517 3973 11919 24331 72993 114943 344829 3333347 10000041