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126270 = 23252361
BaseRepresentation
bin11110110100111110
320102012200
4132310332
513020040
62412330
71034064
oct366476
9212180
10126270
1186961
12610a6
1345621
1434034
1527630
hex1ed3e

126270 has 48 divisors (see below), whose sum is σ = 348192. Its totient is φ = 31680.

The previous prime is 126257. The next prime is 126271. The reversal of 126270 is 72621.

It is a happy number.

It is a super-2 number, since 2×1262702 = 31888225800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126271) 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, 2040 + ... + 2100.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2126270 is an apocalyptic number.

126270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

126270 is an abundant number, since it is smaller than the sum of its proper divisors (221922).

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

126270 is a wasteful number, since it uses less digits than its factorization.

126270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 126270 is about 355.3449028761. The cubic root of 126270 is about 50.1687630730.

Adding to 126270 its reverse (72621), we get a palindrome (198891).

The spelling of 126270 in words is "one hundred twenty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 61 69 90 115 122 138 183 207 230 305 345 366 414 549 610 690 915 1035 1098 1403 1830 2070 2745 2806 4209 5490 7015 8418 12627 14030 21045 25254 42090 63135 126270