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10673264 = 247233409
BaseRepresentation
bin101000101101…
…110001110000
3202002020222002
4220231301300
510213021024
61020433132
7156502250
oct50556160
922066862
1010673264
11602aa88
1236a87a8
132299154
1415bb960
15e0c6ae
hexa2dc70

10673264 has 40 divisors (see below), whose sum is σ = 23793120. Its totient is φ = 4543488.

The previous prime is 10673261. The next prime is 10673293. The reversal of 10673264 is 46237601.

It is a super-2 number, since 2×106732642 = 227837128827392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673261) 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, 25892 + ... + 26300.

It is an arithmetic number, because the mean of its divisors is an integer number (594828).

Almost surely, 210673264 is an apocalyptic number.

10673264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10673264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896560).

10673264 is an abundant number, since it is smaller than the sum of its proper divisors (13119856).

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

10673264 is a wasteful number, since it uses less digits than its factorization.

10673264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 10673264 is about 3266.9961738576. The cubic root of 10673264 is about 220.1738570620.

The spelling of 10673264 in words is "ten million, six hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 233 409 466 818 932 1631 1636 1864 2863 3262 3272 3728 5726 6524 6544 11452 13048 22904 26096 45808 95297 190594 381188 667079 762376 1334158 1524752 2668316 5336632 10673264