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108535240 = 23511972543
BaseRepresentation
bin1100111100000…
…01110111001000
321120020011100201
412132001313020
5210241111430
614434141544
72455351162
oct636016710
9246204321
10108535240
11562a1150
12304218b4
1319641748
14105b3932
1597dd8ca
hex6781dc8

108535240 has 64 divisors (see below), whose sum is σ = 269256960. Its totient is φ = 39045120.

The previous prime is 108535213. The next prime is 108535249. The reversal of 108535240 is 42535801.

It is a junction number, because it is equal to n+sod(n) for n = 108535199 and 108535208.

It is not an unprimeable number, because it can be changed into a prime (108535249) by changing a digit.

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, 41409 + ... + 43951.

It is an arithmetic number, because the mean of its divisors is an integer number (4207140).

Almost surely, 2108535240 is an apocalyptic number.

108535240 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 108535240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628480).

108535240 is an abundant number, since it is smaller than the sum of its proper divisors (160721720).

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

108535240 is a wasteful number, since it uses less digits than its factorization.

108535240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 108535240 is about 10418.0247648007. The cubic root of 108535240 is about 477.0057237438.

The spelling of 108535240 in words is "one hundred eight million, five hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 110 194 220 388 440 485 776 970 1067 1940 2134 2543 3880 4268 5086 5335 8536 10172 10670 12715 20344 21340 25430 27973 42680 50860 55946 101720 111892 139865 223784 246671 279730 493342 559460 986684 1118920 1233355 1973368 2466710 2713381 4933420 5426762 9866840 10853524 13566905 21707048 27133810 54267620 108535240