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108240 = 24351141
BaseRepresentation
bin11010011011010000
312111110220
4122123100
511430430
62153040
7630366
oct323320
9174426
10108240
1174360
1252780
133a362
142b636
1522110
hex1a6d0

108240 has 80 divisors (see below), whose sum is σ = 374976. Its totient is φ = 25600.

The previous prime is 108233. The next prime is 108247. The reversal of 108240 is 42801.

108240 = 302 + 312 + ... + 702.

It is a Cunningham number, because it is equal to 3292-1.

It is an interprime number because it is at equal distance from previous prime (108233) and next prime (108247).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108247) by changing a digit.

108240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2620 + ... + 2660.

2108240 is an apocalyptic number.

108240 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 108240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

108240 is an abundant number, since it is smaller than the sum of its proper divisors (266736).

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

108240 is a wasteful number, since it uses less digits than its factorization.

108240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 108240 is about 328.9984802397. The cubic root of 108240 is about 47.6572810401.

The spelling of 108240 in words is "one hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 3280 3608 4510 4920 5412 6765 7216 9020 9840 10824 13530 18040 21648 27060 36080 54120 108240