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90270 = 23251759
BaseRepresentation
bin10110000010011110
311120211100
4112002132
510342040
61533530
7524115
oct260236
9146740
1090270
1161904
12442a6
133211b
1424c7c
151bb30
hex1609e

90270 has 48 divisors (see below), whose sum is σ = 252720. Its totient is φ = 22272.

The previous prime is 90263. The next prime is 90271. The reversal of 90270 is 7209.

Adding to 90270 its reverse (7209), we get a palindrome (97479).

It is a Harshad number since it is a multiple of its sum of digits (18).

90270 is a modest number, since divided by 270 gives 90 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1501 + ... + 1559.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

290270 is an apocalyptic number.

90270 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 90270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

90270 is an abundant number, since it is smaller than the sum of its proper divisors (162450).

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

90270 is a wasteful number, since it uses less digits than its factorization.

90270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 90270 is about 300.4496630053. The cubic root of 90270 is about 44.8588167735.

The spelling of 90270 in words is "ninety thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 59 85 90 102 118 153 170 177 255 295 306 354 510 531 590 765 885 1003 1062 1530 1770 2006 2655 3009 5015 5310 6018 9027 10030 15045 18054 30090 45135 90270