Search a number
-
+
10108288 = 27157503
BaseRepresentation
bin100110100011…
…110110000000
3201000112222001
4212203312000
510041431123
61000353344
7151630141
oct46436600
921015861
1010108288
115784563
123475854
13212bc48
1414b1ac8
15d4a0ad
hex9a3d80

10108288 has 32 divisors (see below), whose sum is σ = 20306160. Its totient is φ = 5011968.

The previous prime is 10108283. The next prime is 10108291. The reversal of 10108288 is 88280101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108283) 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, 19845 + ... + 20347.

Almost surely, 210108288 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 10108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10153080).

10108288 is an abundant number, since it is smaller than the sum of its proper divisors (10197872).

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

10108288 is an equidigital number, since it uses as much as digits as its factorization.

10108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 10108288 is about 3179.3533933805. The cubic root of 10108288 is about 216.2183434565.

Adding to 10108288 its reverse (88280101), we get a palindrome (98388389).

The spelling of 10108288 in words is "ten million, one hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 157 314 503 628 1006 1256 2012 2512 4024 5024 8048 10048 16096 20096 32192 64384 78971 157942 315884 631768 1263536 2527072 5054144 10108288