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109513638 = 23213312487
BaseRepresentation
bin1101000011100…
…00101110100110
321122001212110200
412201300232212
5211013414023
614511131330
72466564513
oct641605646
9248055420
10109513638
11568aa243
1230813b46
13198c4b90
141078a30a
159933743
hex6870ba6

109513638 has 72 divisors (see below), whose sum is σ = 264582864. Its totient is φ = 32542560.

The previous prime is 109513597. The next prime is 109513639. The reversal of 109513638 is 836315901.

It is a happy number.

109513638 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 13 + 638 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109513639) 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 35 ways as a sum of consecutive naturals, for example, 224631 + ... + 225117.

It is an arithmetic number, because the mean of its divisors is an integer number (3674762).

Almost surely, 2109513638 is an apocalyptic number.

109513638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109513638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132291432).

109513638 is an abundant number, since it is smaller than the sum of its proper divisors (155069226).

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

109513638 is a wasteful number, since it uses less digits than its factorization.

109513638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 109513638 is about 10464.8763967856. The cubic root of 109513638 is about 478.4347712960.

The spelling of 109513638 in words is "one hundred nine million, five hundred thirteen thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 487 558 806 961 974 1209 1461 1922 2418 2883 2922 3627 4383 5766 6331 7254 8649 8766 12493 12662 15097 17298 18993 24986 30194 37479 37986 45291 56979 74958 90582 112437 113958 135873 196261 224874 271746 392522 468007 588783 936014 1177566 1404021 1766349 2808042 3532698 4212063 6084091 8424126 12168182 18252273 36504546 54756819 109513638