Search a number
-
+
20492550 = 232521331113
BaseRepresentation
bin100111000101…
…1000100000110
31102120010111100
41032023010012
520221230200
62011120530
7336120021
oct116130406
942503440
1020492550
11106273a1
126a43146
134326690
142a161b8
151bebd00
hex138b106

20492550 has 144 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 4838400.

The previous prime is 20492543. The next prime is 20492551. The reversal of 20492550 is 5529402.

20492550 = T180 + T181 + ... + T504.

20492550 is a `hidden beast` number, since 20 + 4 + 92 + 550 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20492551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181294 + ... + 181406.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 220492550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20492550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

20492550 is an abundant number, since it is smaller than the sum of its proper divisors (41253498).

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

20492550 is a wasteful number, since it uses less digits than its factorization.

20492550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20492550 is about 4526.8697794392. The cubic root of 20492550 is about 273.6520259893.

The spelling of 20492550 in words is "twenty million, four hundred ninety-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 31 39 45 50 62 65 75 78 90 93 113 117 130 150 155 186 195 225 226 234 279 310 325 339 390 403 450 465 558 565 585 650 678 775 806 930 975 1017 1130 1170 1209 1395 1469 1550 1695 1950 2015 2034 2325 2418 2790 2825 2925 2938 3390 3503 3627 4030 4407 4650 5085 5650 5850 6045 6975 7006 7254 7345 8475 8814 10075 10170 10509 12090 13221 13950 14690 16950 17515 18135 20150 21018 22035 25425 26442 30225 31527 35030 36270 36725 44070 45539 50850 52545 60450 63054 66105 73450 87575 90675 91078 105090 110175 132210 136617 157635 175150 181350 220350 227695 262725 273234 315270 330525 409851 455390 525450 661050 683085 788175 819702 1138475 1366170 1576350 2049255 2276950 3415425 4098510 6830850 10246275 20492550