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108535140 = 22345717563
BaseRepresentation
bin1100111100000…
…01110101100100
321120020011020000
412132001311210
5210241111030
614434141300
72455350660
oct636016544
9246204200
10108535140
11562a106a
1230421830
131964169c
14105b38a0
1597dd860
hex6781d64

108535140 has 240 divisors, whose sum is σ = 412739712. Its totient is φ = 23307264.

The previous prime is 108535093. The next prime is 108535151. The reversal of 108535140 is 41535801.

It is a super-2 number, since 2×1085351402 = 23559753229639200, which contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 192499 + ... + 193061.

Almost surely, 2108535140 is an apocalyptic number.

108535140 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 108535140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206369856).

108535140 is an abundant number, since it is smaller than the sum of its proper divisors (304204572).

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

108535140 is a wasteful number, since it uses less digits than its factorization.

108535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 108535140 is about 10418.0199654253. The cubic root of 108535140 is about 477.0055772458.

The spelling of 108535140 in words is "one hundred eight million, five hundred thirty-five thousand, one hundred forty".