Search a number
-
+
24204420 = 2234567223
BaseRepresentation
bin101110001010…
…1010010000100
31200112201020000
41130111102010
522144020140
62222441300
7412506552
oct134252204
950481200
1024204420
1112732159
128133230
135026056
143300bd2
1521d1a30
hex1715484

24204420 has 120 divisors (see below), whose sum is σ = 77409024. Its totient is φ = 6329664.

The previous prime is 24204419. The next prime is 24204421. The reversal of 24204420 is 2440242.

24204420 is a `hidden beast` number, since 242 + 0 + 4 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (24204419) and next prime (24204421).

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 = 24204393 and 24204402.

It is not an unprimeable number, because it can be changed into a prime (24204421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108429 + ... + 108651.

Almost surely, 224204420 is an apocalyptic number.

24204420 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 24204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38704512).

24204420 is an abundant number, since it is smaller than the sum of its proper divisors (53204604).

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

24204420 is a wasteful number, since it uses less digits than its factorization.

24204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 24204420 is about 4919.7987763729. The cubic root of 24204420 is about 289.2665572264.

Adding to 24204420 its reverse (2440242), we get a palindrome (26644662).

It can be divided in two parts, 242044 and 20, that added together give a square (242064 = 4922).

The spelling of 24204420 in words is "twenty-four million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 81 90 108 134 135 162 180 201 223 268 270 324 335 402 405 446 540 603 669 670 804 810 892 1005 1115 1206 1338 1340 1620 1809 2007 2010 2230 2412 2676 3015 3345 3618 4014 4020 4460 5427 6021 6030 6690 7236 8028 9045 10035 10854 12042 12060 13380 14941 18063 18090 20070 21708 24084 27135 29882 30105 36126 36180 40140 44823 54270 59764 60210 72252 74705 89646 90315 108540 120420 134469 149410 179292 180630 224115 268938 298820 361260 403407 448230 537876 672345 806814 896460 1210221 1344690 1613628 2017035 2420442 2689380 4034070 4840884 6051105 8068140 12102210 24204420