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108693840 = 24351034397
BaseRepresentation
bin1100111101010…
…00100101010000
321120112012220210
412132220211100
5210311200330
614441404120
72456611443
oct636504520
9246465823
10108693840
115639a322
1230499640
13196989a8
141061565a
1598208b0
hex67a8950

108693840 has 80 divisors (see below), whose sum is σ = 340299648. Its totient is φ = 28697088.

The previous prime is 108693833. The next prime is 108693841. The reversal of 108693840 is 48396801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108693841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22522 + ... + 26918.

Almost surely, 2108693840 is an apocalyptic number.

108693840 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 108693840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170149824).

108693840 is an abundant number, since it is smaller than the sum of its proper divisors (231605808).

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

108693840 is a wasteful number, since it uses less digits than its factorization.

108693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 108693840 is about 10425.6337936837. The cubic root of 108693840 is about 477.2379564197.

The spelling of 108693840 in words is "one hundred eight million, six hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4397 4944 6180 8240 8794 12360 13191 17588 21985 24720 26382 35176 43970 52764 65955 70352 87940 105528 131910 175880 211056 263820 351760 452891 527640 905782 1055280 1358673 1811564 2264455 2717346 3623128 4528910 5434692 6793365 7246256 9057820 10869384 13586730 18115640 21738768 27173460 36231280 54346920 108693840