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90014490 = 2355172179
BaseRepresentation
bin1010101110110…
…00001100011010
320021101012200000
411113120030122
5141020430430
612533153430
72142052626
oct527301432
9207335600
1090014490
11468a1245
122618b876
1315858717
14bd52186
157d80e60
hex55d831a

90014490 has 96 divisors (see below), whose sum is σ = 257100480. Its totient is φ = 22581504.

The previous prime is 90014461. The next prime is 90014501. The reversal of 90014490 is 9441009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40221 + ... + 42399.

It is an arithmetic number, because the mean of its divisors is an integer number (2678130).

Almost surely, 290014490 is an apocalyptic number.

90014490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90014490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128550240).

90014490 is an abundant number, since it is smaller than the sum of its proper divisors (167085990).

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

90014490 is a wasteful number, since it uses less digits than its factorization.

90014490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90014490 is about 9487.5966398240. The cubic root of 90014490 is about 448.1645235706.

Adding to 90014490 its reverse (9441009), we get a palindrome (99455499).

The spelling of 90014490 in words is "ninety million, fourteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 765 810 918 1215 1377 1530 2179 2295 2430 2754 4131 4358 4590 6537 6885 8262 10895 13074 13770 19611 20655 21790 32685 37043 39222 41310 58833 65370 74086 98055 111129 117666 176499 185215 196110 222258 294165 333387 352998 370430 529497 555645 588330 666774 882495 1000161 1058994 1111290 1666935 1764990 2000322 2647485 3000483 3333870 5000805 5294970 6000966 9001449 10001610 15002415 18002898 30004830 45007245 90014490