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8109144 = 233241267
BaseRepresentation
bin11110111011110001011000
3120020222122200
4132323301120
54033443034
6445450200
7125632551
oct36736130
916228580
108109144
11463957a
122870960
1318ac014
141111328
15aa2a99
hex7bbc58

8109144 has 72 divisors (see below), whose sum is σ = 22846980. Its totient is φ = 2597760.

The previous prime is 8109139. The next prime is 8109149. The reversal of 8109144 is 4419018.

It is an interprime number because it is at equal distance from previous prime (8109139) and next prime (8109149).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8109149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120999 + ... + 121065.

Almost surely, 28109144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8109144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11423490).

8109144 is an abundant number, since it is smaller than the sum of its proper divisors (14737836).

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

8109144 is a wasteful number, since it uses less digits than its factorization.

8109144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 8109144 is about 2847.6558780864. The cubic root of 8109144 is about 200.9054281471.

The spelling of 8109144 in words is "eight million, one hundred nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 67 72 82 123 134 164 201 246 268 328 369 402 492 536 603 738 804 984 1206 1476 1608 1681 2412 2747 2952 3362 4824 5043 5494 6724 8241 10086 10988 13448 15129 16482 20172 21976 24723 30258 32964 40344 49446 60516 65928 98892 112627 121032 197784 225254 337881 450508 675762 901016 1013643 1351524 2027286 2703048 4054572 8109144