Search a number
-
+
20242240 = 26517612
BaseRepresentation
bin100110100110…
…1111101000000
31102002102010121
41031031331000
520140222430
62001510024
7334025164
oct115157500
942072117
1020242240
1110476327
126942314
134269775
14298cca4
151b9ca7a
hex134df40

20242240 has 84 divisors (see below), whose sum is σ = 51887628. Its totient is φ = 7495680.

The previous prime is 20242213. The next prime is 20242247. The reversal of 20242240 is 4224202.

It can be written as a sum of positive squares in 6 ways, for example, as 5125696 + 15116544 = 2264^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331810 + ... + 331870.

Almost surely, 220242240 is an apocalyptic number.

20242240 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 20242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25943814).

20242240 is an abundant number, since it is smaller than the sum of its proper divisors (31645388).

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

20242240 is an equidigital number, since it uses as much as digits as its factorization.

20242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 20242240 is about 4499.1376951589. The cubic root of 20242240 is about 272.5332675486.

Adding to 20242240 its reverse (4224202), we get a palindrome (24466442).

The spelling of 20242240 in words is "twenty million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 136 160 170 244 272 305 320 340 488 544 610 680 976 1037 1088 1220 1360 1952 2074 2440 2720 3721 3904 4148 4880 5185 5440 7442 8296 9760 10370 14884 16592 18605 19520 20740 29768 33184 37210 41480 59536 63257 66368 74420 82960 119072 126514 148840 165920 238144 253028 297680 316285 331840 506056 595360 632570 1012112 1190720 1265140 2024224 2530280 4048448 5060560 10121120 20242240