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108552820 = 22517378629
BaseRepresentation
bin1100111100001…
…10001001110100
321120021001110211
412132012021310
5210242142240
614434355204
72455453345
oct636061164
9246231424
10108552820
1156303382
123042bb04
131964974c
14105ba0cc
1597e3bea
hex6786274

108552820 has 48 divisors (see below), whose sum is σ = 247922640. Its totient is φ = 39757824.

The previous prime is 108552811. The next prime is 108552841. The reversal of 108552820 is 28255801.

It can be written as a sum of positive squares in 8 ways, for example, as 20268004 + 88284816 = 4502^2 + 9396^2 .

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, 8266 + ... + 16894.

It is an arithmetic number, because the mean of its divisors is an integer number (5165055).

Almost surely, 2108552820 is an apocalyptic number.

108552820 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 108552820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123961320).

108552820 is an abundant number, since it is smaller than the sum of its proper divisors (139369820).

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

108552820 is a wasteful number, since it uses less digits than its factorization.

108552820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8692 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 108552820 is about 10418.8684606343. The cubic root of 108552820 is about 477.0314766940.

The spelling of 108552820 in words is "one hundred eight million, five hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 8629 12580 17258 34516 43145 86290 146693 172580 293386 319273 586772 638546 733465 1277092 1466930 1596365 2933860 3192730 5427641 6385460 10855282 21710564 27138205 54276410 108552820