Search a number
-
+
108332928 = 27321183103
BaseRepresentation
bin1100111010100…
…00011110000000
321112211212211200
412131100132000
5210213123203
614425541200
72453546304
oct635203600
9245755750
10108332928
1156173150
1230344800
13195a0632
141055dd04
15979d9a3
hex6750780

108332928 has 192 divisors, whose sum is σ = 347518080. Its totient is φ = 32117760.

The previous prime is 108332923. The next prime is 108332933. The reversal of 108332928 is 829233801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108332923) and next prime (108332933).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108332892 and 108332901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108332923) 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 23 ways as a sum of consecutive naturals, for example, 1051725 + ... + 1051827.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 2108332928 is an apocalyptic number.

108332928 is a gapful number since it is divisible by the number (18) 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 108332928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

108332928 is an abundant number, since it is smaller than the sum of its proper divisors (239185152).

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

108332928 is a wasteful number, since it uses less digits than its factorization.

108332928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 108332928 is about 10408.3105257289. The cubic root of 108332928 is about 476.7091564538.

The spelling of 108332928 in words is "one hundred eight million, three hundred thirty-two thousand, nine hundred twenty-eight".