Search a number
-
+
10204672 = 29191049
BaseRepresentation
bin100110111011…
…011000000000
3201012110011211
4212323120000
510103022142
61002415504
7152511142
oct46733000
921173154
1010204672
11583aa15
123501594
132163a8a
1414d8c92
15d68917
hex9bb600

10204672 has 40 divisors (see below), whose sum is σ = 21483000. Its totient is φ = 4829184.

The previous prime is 10204669. The next prime is 10204679. The reversal of 10204672 is 27640201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9204 + ... + 10252.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 210204672 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 10204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10741500).

10204672 is an abundant number, since it is smaller than the sum of its proper divisors (11278328).

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

10204672 is an equidigital number, since it uses as much as digits as its factorization.

10204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 10204672 is about 3194.4752307695. The cubic root of 10204672 is about 216.9033951698.

Adding to 10204672 its reverse (27640201), we get a palindrome (37844873).

The spelling of 10204672 in words is "ten million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1049 1216 2098 2432 4196 4864 8392 9728 16784 19931 33568 39862 67136 79724 134272 159448 268544 318896 537088 637792 1275584 2551168 5102336 10204672