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10006769 = 293111131
BaseRepresentation
bin100110001011…
…000011110001
3200211101201002
4212023003301
510030204034
6554251345
7151025153
oct46130361
920741632
1010006769
115715263
123426b55
1320c4986
141486ad3
15d29e7e
hex98b0f1

10006769 has 8 divisors (see below), whose sum is σ = 10686720. Its totient is φ = 9349200.

The previous prime is 10006757. The next prime is 10006781. The reversal of 10006769 is 96760001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10006757) and next prime (10006781).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006769 - 220 = 8958193 is a prime.

It is a super-2 number, since 2×100067692 = 200270851638722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000769) 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, 4667 + ... + 6464.

It is an arithmetic number, because the mean of its divisors is an integer number (1335840).

Almost surely, 210006769 is an apocalyptic number.

It is an amenable number.

10006769 is a deficient number, since it is larger than the sum of its proper divisors (679951).

10006769 is a wasteful number, since it uses less digits than its factorization.

10006769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 10006769 is about 3163.3477519868. The cubic root of 10006769 is about 215.4920692671.

The spelling of 10006769 in words is "ten million, six thousand, seven hundred sixty-nine".

Divisors: 1 29 31 899 11131 322799 345061 10006769