Search a number
-
+
24114420 = 223251119641
BaseRepresentation
bin101101111111…
…1010011110100
31200101010202200
41123333103310
522133130140
62220504500
7411653301
oct133772364
950333680
1024114420
1112680580
1280ab130
134cc40b5
1432ba0a8
1521b5030
hex16ff4f4

24114420 has 144 divisors (see below), whose sum is σ = 84127680. Its totient is φ = 5529600.

The previous prime is 24114367. The next prime is 24114427. The reversal of 24114420 is 2441142.

24114420 is a `hidden beast` number, since 241 + 1 + 4 + 420 = 666.

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 = 24114393 and 24114402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24114427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37300 + ... + 37940.

It is an arithmetic number, because the mean of its divisors is an integer number (584220).

Almost surely, 224114420 is an apocalyptic number.

24114420 is a gapful number since it is divisible by the number (20) 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 24114420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42063840).

24114420 is an abundant number, since it is smaller than the sum of its proper divisors (60013260).

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

24114420 is a wasteful number, since it uses less digits than its factorization.

24114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 24114420 is about 4910.6435423476. The cubic root of 24114420 is about 288.9075825072.

Adding to 24114420 its reverse (2441142), we get a palindrome (26555562).

The spelling of 24114420 in words is "twenty-four million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 641 660 684 836 855 990 1045 1140 1254 1282 1710 1881 1923 1980 2090 2508 2564 3135 3205 3420 3762 3846 4180 5769 6270 6410 7051 7524 7692 9405 9615 11538 12179 12540 12820 14102 18810 19230 21153 23076 24358 28204 28845 35255 36537 37620 38460 42306 48716 57690 60895 63459 70510 73074 84612 105765 109611 115380 121790 126918 133969 141020 146148 182685 211530 219222 243580 253836 267938 317295 365370 401907 423060 438444 535876 548055 634590 669845 730740 803814 1096110 1205721 1269180 1339690 1607628 2009535 2192220 2411442 2679380 4019070 4822884 6028605 8038140 12057210 24114420