Search a number
-
+
108873856 = 277132719
BaseRepresentation
bin1100111110101…
…00100010000000
321120212100212001
412133110202000
5210332430411
614445313344
72461261330
oct637244200
9246770761
10108873856
11565025a3
1230565854
131972c900
14106610c0
159858dc1
hex67d4880

108873856 has 96 divisors (see below), whose sum is σ = 268790400. Its totient is φ = 43011072.

The previous prime is 108873841. The next prime is 108873871. The reversal of 108873856 is 658378801.

It is an interprime number because it is at equal distance from previous prime (108873841) and next prime (108873871).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 151065 + ... + 151783.

It is an arithmetic number, because the mean of its divisors is an integer number (2799900).

Almost surely, 2108873856 is an apocalyptic number.

108873856 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 108873856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134395200).

108873856 is an abundant number, since it is smaller than the sum of its proper divisors (159916544).

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

108873856 is an equidigital number, since it uses as much as digits as its factorization.

108873856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The square root of 108873856 is about 10434.2635581051. The cubic root of 108873856 is about 477.5012742672.

The spelling of 108873856 in words is "one hundred eight million, eight hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 338 364 416 448 676 719 728 832 896 1183 1352 1438 1456 1664 2366 2704 2876 2912 4732 5033 5408 5752 5824 9347 9464 10066 10816 11504 11648 18694 18928 20132 21632 23008 37388 37856 40264 46016 65429 74776 75712 80528 92032 121511 130858 149552 151424 161056 243022 261716 299104 322112 486044 523432 598208 644224 850577 972088 1046864 1196416 1701154 1944176 2093728 3402308 3888352 4187456 6804616 7776704 8374912 13609232 15553408 27218464 54436928 108873856