Search a number
-
+
20729240 = 2357101733
BaseRepresentation
bin100111100010…
…0110110011000
31110000011011122
41033010312120
520301313430
62020144412
7341124050
oct117046630
943004148
1020729240
1110779204
126b38108
1343aa32c
142a78560
151c46ee5
hex13c4d98

20729240 has 64 divisors (see below), whose sum is σ = 53904960. Its totient is φ = 7027200.

The previous prime is 20729227. The next prime is 20729243. The reversal of 20729240 is 4292702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20729243) 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, 27914 + ... + 28646.

It is an arithmetic number, because the mean of its divisors is an integer number (842265).

Almost surely, 220729240 is an apocalyptic number.

20729240 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 20729240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26952480).

20729240 is an abundant number, since it is smaller than the sum of its proper divisors (33175720).

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

20729240 is a wasteful number, since it uses less digits than its factorization.

20729240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 20729240 is about 4552.9375132984. The cubic root of 20729240 is about 274.7015605379.

The spelling of 20729240 in words is "twenty million, seven hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 733 808 1010 1414 1466 2020 2828 2932 3535 3665 4040 5131 5656 5864 7070 7330 10262 14140 14660 20524 25655 28280 29320 41048 51310 74033 102620 148066 205240 296132 370165 518231 592264 740330 1036462 1480660 2072924 2591155 2961320 4145848 5182310 10364620 20729240