Search a number
-
+
20140576 = 253179257
BaseRepresentation
bin100110011010…
…1001000100000
31101220020200021
41030311020200
520123444301
61555403224
7333122611
oct114651040
941806607
1020140576
1110406a05
1268b3514
134232401
142963c08
151b7c8a1
hex1335220

20140576 has 48 divisors (see below), whose sum is σ = 41610240. Its totient is φ = 9584640.

The previous prime is 20140573. The next prime is 20140609. The reversal of 20140576 is 67504102.

It is a super-2 number, since 2×201405762 = 811285603223552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20140576.

It is not an unprimeable number, because it can be changed into a prime (20140573) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78240 + ... + 78496.

It is an arithmetic number, because the mean of its divisors is an integer number (866880).

Almost surely, 220140576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20140576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805120).

20140576 is an abundant number, since it is smaller than the sum of its proper divisors (21469664).

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

20140576 is a wasteful number, since it uses less digits than its factorization.

20140576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 20140576 is about 4487.8253085431. The cubic root of 20140576 is about 272.0762473670.

Adding to 20140576 its reverse (67504102), we get a palindrome (87644678).

The spelling of 20140576 in words is "twenty million, one hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 79 124 158 248 257 316 496 514 632 992 1028 1264 2056 2449 2528 4112 4898 7967 8224 9796 15934 19592 20303 31868 39184 40606 63736 78368 81212 127472 162424 254944 324848 629393 649696 1258786 2517572 5035144 10070288 20140576