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90170730 = 23251377069
BaseRepresentation
bin1010101111111…
…10010101101010
320021200010222200
411113332111222
5141040430410
612540401030
72143303266
oct527762552
9207603880
1090170730
1146998671
1226246176
13158b1880
14bd930a6
157db23c0
hex55fe56a

90170730 has 48 divisors (see below), whose sum is σ = 252481320. Its totient is φ = 22195584.

The previous prime is 90170701. The next prime is 90170747. The reversal of 90170730 is 3707109.

It can be written as a sum of positive squares in 4 ways, for example, as 76265289 + 13905441 = 8733^2 + 3729^2 .

It is a super-3 number, since 3×901707303 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 90170694 and 90170703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37365 + ... + 39704.

Almost surely, 290170730 is an apocalyptic number.

90170730 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90170730 is an abundant number, since it is smaller than the sum of its proper divisors (162310590).

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

90170730 is a wasteful number, since it uses less digits than its factorization.

90170730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77095 (or 77092 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 90170730 is about 9495.8269782047. The cubic root of 90170730 is about 448.4236698175.

Adding to 90170730 its reverse (3707109), we get a palindrome (93877839).

It can be divided in two parts, 901 and 70730, that added together give a triangular number (71631 = T378).

The spelling of 90170730 in words is "ninety million, one hundred seventy thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 77069 154138 231207 385345 462414 693621 770690 1001897 1156035 1387242 2003794 2312070 3005691 3468105 5009485 6011382 6936210 9017073 10018970 15028455 18034146 30056910 45085365 90170730