Search a number
-
+
90020000 = 25547643
BaseRepresentation
bin1010101110110…
…01100010100000
320021101111020002
411113121202200
5141021120000
612533235132
72142104660
oct527314240
9207344202
1090020000
11468a53a4
1226192aa8
131585b095
14bd541a0
157d828d5
hex55d98a0

90020000 has 120 divisors (see below), whose sum is σ = 253493856. Its totient is φ = 30816000.

The previous prime is 90019997. The next prime is 90020003. The reversal of 90020000 is 2009.

It is an interprime number because it is at equal distance from previous prime (90019997) and next prime (90020003).

It is not an unprimeable number, because it can be changed into a prime (90020003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139679 + ... + 140321.

Almost surely, 290020000 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 90020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126746928).

90020000 is an abundant number, since it is smaller than the sum of its proper divisors (163473856).

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

90020000 is an equidigital number, since it uses as much as digits as its factorization.

90020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 90020000 is about 9487.8870145043. The cubic root of 90020000 is about 448.1736677878.

Adding to 90020000 its reverse (2009), we get a palindrome (90022009).

The spelling of 90020000 in words is "ninety million, twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 643 700 800 875 1000 1120 1250 1286 1400 1750 2000 2500 2572 2800 3215 3500 4000 4375 4501 5000 5144 5600 6430 7000 8750 9002 10000 10288 12860 14000 16075 17500 18004 20000 20576 22505 25720 28000 32150 35000 36008 45010 51440 64300 70000 72016 80375 90020 102880 112525 128600 140000 144032 160750 180040 225050 257200 321500 360080 401875 450100 514400 562625 643000 720160 803750 900200 1125250 1286000 1607500 1800400 2250500 2572000 2813125 3215000 3600800 4501000 5626250 6430000 9002000 11252500 12860000 18004000 22505000 45010000 90020000