Search a number
-
+
16107120 = 243357457
BaseRepresentation
bin111101011100…
…011001110000
31010022022211000
4331130121300
513110411440
61333122000
7253623351
oct75343160
933268730
1016107120
119101577
125489300
13344c553
1421d3d28
151632730
hexf5c670

16107120 has 80 divisors (see below), whose sum is σ = 55487520. Its totient is φ = 4294656.

The previous prime is 16107103. The next prime is 16107127. The reversal of 16107120 is 2170161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16107093 and 16107102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16107127) 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, 1569 + ... + 5888.

It is an arithmetic number, because the mean of its divisors is an integer number (693594).

Almost surely, 216107120 is an apocalyptic number.

16107120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16107120 is an abundant number, since it is smaller than the sum of its proper divisors (39380400).

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

16107120 is a wasteful number, since it uses less digits than its factorization.

16107120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 16107120 is about 4013.3676631976. The cubic root of 16107120 is about 252.5453044219.

Adding to 16107120 its reverse (2170161), we get a palindrome (18277281).

The spelling of 16107120 in words is "sixteen million, one hundred seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 7457 14914 22371 29828 37285 44742 59656 67113 74570 89484 111855 119312 134226 149140 178968 201339 223710 268452 298280 335565 357936 402678 447420 536904 596560 671130 805356 894840 1006695 1073808 1342260 1610712 1789680 2013390 2684520 3221424 4026780 5369040 8053560 16107120