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110828820 = 22354739301
BaseRepresentation
bin1101001101100…
…01110100010100
321201112200120010
412212301310110
5211333010240
614555240220
72514013044
oct646616424
9251480503
10110828820
1157618373
1231149070
1319c656ab
1410a0d724
159ae3280
hex69b1d14

110828820 has 48 divisors (see below), whose sum is σ = 316931328. Its totient is φ = 28924800.

The previous prime is 110828803. The next prime is 110828849. The reversal of 110828820 is 28828011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16831 + ... + 22470.

It is an arithmetic number, because the mean of its divisors is an integer number (6602736).

Almost surely, 2110828820 is an apocalyptic number.

110828820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110828820 is an abundant number, since it is smaller than the sum of its proper divisors (206102508).

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

110828820 is a wasteful number, since it uses less digits than its factorization.

110828820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39360 (or 39358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 110828820 is about 10527.5267750788. The cubic root of 110828820 is about 480.3423772568.

The spelling of 110828820 in words is "one hundred ten million, eight hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 39301 78602 117903 157204 196505 235806 393010 471612 589515 786020 1179030 1847147 2358060 3694294 5541441 7388588 9235735 11082882 18471470 22165764 27707205 36942940 55414410 110828820