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109148382 = 23272472633
BaseRepresentation
bin1101000000101…
…11100011011110
321121101022102200
412200113203132
5210420222012
614455232330
72463513600
oct640274336
9247338380
10109148382
115667a882
12306786a6
13197c7855
14106d3170
1598b03dc
hex68178de

109148382 has 72 divisors (see below), whose sum is σ = 281058336. Its totient is φ = 30510144.

The previous prime is 109148357. The next prime is 109148393. The reversal of 109148382 is 283841901.

109148382 is a `hidden beast` number, since 10 + 91 + 483 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40138 + ... + 42770.

It is an arithmetic number, because the mean of its divisors is an integer number (3903588).

Almost surely, 2109148382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109148382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140529168).

109148382 is an abundant number, since it is smaller than the sum of its proper divisors (171909954).

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

109148382 is a wasteful number, since it uses less digits than its factorization.

109148382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 109148382 is about 10447.4103011225. The cubic root of 109148382 is about 477.9022780688.

The spelling of 109148382 in words is "one hundred nine million, one hundred forty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 441 658 846 882 987 1974 2303 2633 2961 4606 5266 5922 6909 7899 13818 15798 18431 20727 23697 36862 41454 47394 55293 110586 123751 129017 165879 247502 258034 331758 371253 387051 742506 774102 866257 1113759 1161153 1732514 2227518 2322306 2598771 5197542 6063799 7796313 12127598 15592626 18191397 36382794 54574191 109148382