Search a number
-
+
108765856 = 2531831321
BaseRepresentation
bin1100111101110…
…10001010100000
321120122212201001
412132322022200
5210321001411
614443121344
72460331423
oct636721240
9246585631
10108765856
1156439441
1230513254
13196c26c4
14106339ba
159836dc1
hex67ba2a0

108765856 has 48 divisors (see below), whose sum is σ = 223872768. Its totient is φ = 51955200.

The previous prime is 108765841. The next prime is 108765859. The reversal of 108765856 is 658567801.

It is a super-2 number, since 2×1087658562 = 23660022862825472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108765859) 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, 81676 + ... + 82996.

It is an arithmetic number, because the mean of its divisors is an integer number (4664016).

Almost surely, 2108765856 is an apocalyptic number.

108765856 is a gapful number since it is divisible by the number (16) 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 108765856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111936384).

108765856 is an abundant number, since it is smaller than the sum of its proper divisors (115106912).

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

108765856 is a wasteful number, since it uses less digits than its factorization.

108765856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 108765856 is about 10429.0870166089. The cubic root of 108765856 is about 477.3433324650.

The spelling of 108765856 in words is "one hundred eight million, seven hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 83 124 166 248 332 496 664 992 1321 1328 2573 2642 2656 5146 5284 10292 10568 20584 21136 40951 41168 42272 81902 82336 109643 163804 219286 327608 438572 655216 877144 1310432 1754288 3398933 3508576 6797866 13595732 27191464 54382928 108765856