Search a number
-
+
20241340 = 2257163887
BaseRepresentation
bin100110100110…
…1101110111100
31102002100220021
41031031232330
520140210330
62001501524
7334022440
oct115155674
942070807
1020241340
1110475689
1269418a4
134269232
14298c820
151b9c67a
hex134dbbc

20241340 has 48 divisors (see below), whose sum is σ = 48932352. Its totient is φ = 6889536.

The previous prime is 20241329. The next prime is 20241341. The reversal of 20241340 is 4314202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22377 + ... + 23263.

It is an arithmetic number, because the mean of its divisors is an integer number (1019424).

Almost surely, 220241340 is an apocalyptic number.

20241340 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 20241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24466176).

20241340 is an abundant number, since it is smaller than the sum of its proper divisors (28691012).

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

20241340 is a wasteful number, since it uses less digits than its factorization.

20241340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20241340 is about 4499.0376748812. The cubic root of 20241340 is about 272.5292284110.

Adding to 20241340 its reverse (4314202), we get a palindrome (24555542).

It can be divided in two parts, 2024 and 1340, that added together give a square (3364 = 582).

The spelling of 20241340 in words is "twenty million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 887 1141 1630 1774 2282 3260 3548 4435 4564 5705 6209 8870 11410 12418 17740 22820 24836 31045 62090 124180 144581 289162 578324 722905 1012067 1445810 2024134 2891620 4048268 5060335 10120670 20241340