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90014500 = 2253672687
BaseRepresentation
bin1010101110110…
…00001100100100
320021101012200101
411113120030210
5141020431000
612533153444
72142052642
oct527301444
9207335611
1090014500
11468a1254
122618b884
1315858724
14bd52192
157d80e6a
hex55d8324

90014500 has 48 divisors (see below), whose sum is σ = 199600128. Its totient is φ = 35455200.

The previous prime is 90014461. The next prime is 90014501. The reversal of 90014500 is 541009.

It is a super-2 number, since 2×900145002 = 16205220420500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90014501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32157 + ... + 34843.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 290014500 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 90014500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99800064).

90014500 is an abundant number, since it is smaller than the sum of its proper divisors (109585628).

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

90014500 is a wasteful number, since it uses less digits than its factorization.

90014500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 90014500 is about 9487.5971668279. The cubic root of 90014500 is about 448.1645401666.

Adding to 90014500 its reverse (541009), we get a palindrome (90555509).

It can be divided in two parts, 9001 and 4500, that multiplied together give a triangular number (40504500 = T9000).

The spelling of 90014500 in words is "ninety million, fourteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 125 134 250 268 335 500 670 1340 1675 2687 3350 5374 6700 8375 10748 13435 16750 26870 33500 53740 67175 134350 180029 268700 335875 360058 671750 720116 900145 1343500 1800290 3600580 4500725 9001450 18002900 22503625 45007250 90014500