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10673104 = 241323297
BaseRepresentation
bin101000101101…
…101111010000
3202002020202011
4220231233100
510213014404
61020432304
7156501631
oct50555720
922066664
1010673104
11602a952
1236a8694
132299060
1415bb888
15e0c604
hexa2dbd0

10673104 has 60 divisors (see below), whose sum is σ = 23520196. Its totient is φ = 4663296.

The previous prime is 10673101. The next prime is 10673123. The reversal of 10673104 is 40137601.

10673104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3055504 + 7617600 = 1748^2 + 2760^2 .

It is a super-2 number, since 2×106731042 = 227830297989632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10673101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109984 + ... + 110080.

Almost surely, 210673104 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 10673104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760098).

10673104 is an abundant number, since it is smaller than the sum of its proper divisors (12847092).

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

10673104 is a wasteful number, since it uses less digits than its factorization.

10673104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10673104 is about 3266.9716864399. The cubic root of 10673104 is about 220.1727568677.

The spelling of 10673104 in words is "ten million, six hundred seventy-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 97 104 184 194 208 299 368 388 529 598 776 1058 1196 1261 1552 2116 2231 2392 2522 4232 4462 4784 5044 6877 8464 8924 10088 13754 17848 20176 27508 29003 35696 51313 55016 58006 102626 110032 116012 205252 232024 410504 464048 667069 821008 1334138 2668276 5336552 10673104