Search a number
-
+
90170000 = 245471127
BaseRepresentation
bin1010101111111…
…10001010010000
320021200002222122
411113332022100
5141040420000
612540353412
72143301204
oct527761220
9207602878
1090170000
1146998068
1226245868
13158b143b
14bd92b04
157db2085
hex55fe290

90170000 has 100 divisors (see below), whose sum is σ = 223128576. Its totient is φ = 35280000.

The previous prime is 90169951. The next prime is 90170009. The reversal of 90170000 is 7109.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (90170009) 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, 709937 + ... + 710063.

Almost surely, 290170000 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 90170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111564288).

90170000 is an abundant number, since it is smaller than the sum of its proper divisors (132958576).

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

90170000 is a wasteful number, since it uses less digits than its factorization.

90170000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 17.

The square root of 90170000 is about 9495.7885401898. The cubic root of 90170000 is about 448.4224597051.

Adding to 90170000 its reverse (7109), we get a palindrome (90177109).

The spelling of 90170000 in words is "ninety million, one hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 127 142 200 250 254 284 355 400 500 508 568 625 635 710 1000 1016 1136 1250 1270 1420 1775 2000 2032 2500 2540 2840 3175 3550 5000 5080 5680 6350 7100 8875 9017 10000 10160 12700 14200 15875 17750 18034 25400 28400 31750 35500 36068 44375 45085 50800 63500 71000 72136 79375 88750 90170 127000 142000 144272 158750 177500 180340 225425 254000 317500 355000 360680 450850 635000 710000 721360 901700 1127125 1270000 1803400 2254250 3606800 4508500 5635625 9017000 11271250 18034000 22542500 45085000 90170000