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10673904 = 243673319
BaseRepresentation
bin101000101101…
…111011110000
3202002021211210
4220231323300
510213031104
61020440120
7156504153
oct50557360
922067753
1010673904
11603050a
1236a9040
132299527
1415bbc9a
15e0c989
hexa2def0

10673904 has 40 divisors (see below), whose sum is σ = 27994240. Its totient is φ = 3503808.

The previous prime is 10673903. The next prime is 10673939. The reversal of 10673904 is 40937601.

It is a happy number.

It is a super-2 number, since 2×106739042 = 227864453202432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673903) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1557 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (699856).

Almost surely, 210673904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10673904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997120).

10673904 is an abundant number, since it is smaller than the sum of its proper divisors (17320336).

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

10673904 is a wasteful number, since it uses less digits than its factorization.

10673904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 10673904 is about 3267.0941216929. The cubic root of 10673904 is about 220.1782577293.

The spelling of 10673904 in words is "ten million, six hundred seventy-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 3319 6638 9957 13276 19914 26552 39828 53104 79656 159312 222373 444746 667119 889492 1334238 1778984 2668476 3557968 5336952 10673904