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10267964 = 227366713
BaseRepresentation
bin100111001010…
…110100111100
3201022122222222
4213022310330
510112033324
61004024512
7153163520
oct47126474
921278888
1010267964
115883523
123532138
132186825
141513d80
15d7c55e
hex9cad3c

10267964 has 12 divisors (see below), whose sum is σ = 20535984. Its totient is φ = 4400544.

The previous prime is 10267937. The next prime is 10267973. The reversal of 10267964 is 46976201.

10267964 is an admirable number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183329 + ... + 183384.

It is an arithmetic number, because the mean of its divisors is an integer number (1711332).

Almost surely, 210267964 is an apocalyptic number.

10267964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10267964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10267964 is a wasteful number, since it uses less digits than its factorization.

10267964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366724 (or 366722 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 10267964 is about 3204.3663960290. The cubic root of 10267964 is about 217.3509014700.

The spelling of 10267964 in words is "ten million, two hundred sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 366713 733426 1466852 2566991 5133982 10267964