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108998800 = 24522691013
BaseRepresentation
bin1100111111100…
…11000010010000
321121002201020121
412133303002100
5210400430200
614452120024
72462321521
oct637630220
9247081217
10108998800
1156588459
1230606014
1319774741
1410694848
159880e1a
hex67f3090

108998800 has 60 divisors (see below), whose sum is σ = 263102580. Its totient is φ = 43394560.

The previous prime is 108998797. The next prime is 108998819. The reversal of 108998800 is 8899801.

It can be written as a sum of positive squares in 6 ways, for example, as 53406864 + 55591936 = 7308^2 + 7456^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 107094 + ... + 108106.

It is an arithmetic number, because the mean of its divisors is an integer number (4385043).

Almost surely, 2108998800 is an apocalyptic number.

108998800 is a gapful number since it is divisible by the number (10) 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 108998800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131551290).

108998800 is an abundant number, since it is smaller than the sum of its proper divisors (154103780).

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

108998800 is a wasteful number, since it uses less digits than its factorization.

108998800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 43.

The square root of 108998800 is about 10440.2490391753. The cubic root of 108998800 is about 477.6838651223.

The spelling of 108998800 in words is "one hundred eight million, nine hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 269 400 538 1013 1076 1345 2026 2152 2690 4052 4304 5065 5380 6725 8104 10130 10760 13450 16208 20260 21520 25325 26900 40520 50650 53800 81040 101300 107600 202600 272497 405200 544994 1089988 1362485 2179976 2724970 4359952 5449940 6812425 10899880 13624850 21799760 27249700 54499400 108998800