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108528120 = 233353172
BaseRepresentation
bin1100111100000…
…00000111111000
321120012210121000
412132000013320
5210240344440
614434045000
72455321341
oct636000770
9246183530
10108528120
1156296868
1230419760
131963b42c
14105b10c8
1597db730
hex67801f8

108528120 has 96 divisors (see below), whose sum is σ = 362905200. Its totient is φ = 28849536.

The previous prime is 108528103. The next prime is 108528127. The reversal of 108528120 is 21825801.

108528120 is a `hidden beast` number, since 10 + 8 + 528 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108528127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342202 + ... + 342518.

Almost surely, 2108528120 is an apocalyptic number.

108528120 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 108528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181452600).

108528120 is an abundant number, since it is smaller than the sum of its proper divisors (254377080).

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

108528120 is an equidigital number, since it uses as much as digits as its factorization.

108528120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 108528120 is about 10417.6830437483. The cubic root of 108528120 is about 476.9952928613.

The spelling of 108528120 in words is "one hundred eight million, five hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 317 360 540 634 951 1080 1268 1585 1902 2536 2853 3170 3804 4755 5706 6340 7608 8559 9510 11412 12680 14265 17118 19020 22824 28530 34236 38040 42795 57060 68472 85590 100489 114120 171180 200978 301467 342360 401956 502445 602934 803912 904401 1004890 1205868 1507335 1808802 2009780 2411736 2713203 3014670 3617604 4019560 4522005 5426406 6029340 7235208 9044010 10852812 12058680 13566015 18088020 21705624 27132030 36176040 54264060 108528120