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450126 = 232171471
BaseRepresentation
bin1101101111001001110
3211212110100
41231321032
5103401001
613351530
73553215
oct1557116
9755410
10450126
11288206
121985a6
13129b61
14ba07c
158d586
hex6de4e

450126 has 24 divisors (see below), whose sum is σ = 1033344. Its totient is φ = 141120.

The previous prime is 450113. The next prime is 450127. The reversal of 450126 is 621054.

It is a happy number.

It is a super-2 number, since 2×4501262 = 405226831752, 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 nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 450099 and 450108.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450126.

It is not an unprimeable number, because it can be changed into a prime (450127) by changing a digit.

450126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 430 + ... + 1041.

It is an arithmetic number, because the mean of its divisors is an integer number (43056).

2450126 is an apocalyptic number.

450126 is an abundant number, since it is smaller than the sum of its proper divisors (583218).

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

450126 is a wasteful number, since it uses less digits than its factorization.

450126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 450126 is about 670.9143015319. The cubic root of 450126 is about 76.6380947933.

It can be divided in two parts, 45012 and 6, that multiplied together give a palindrome (270072).

The spelling of 450126 in words is "four hundred fifty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1471 2942 4413 8826 13239 25007 26478 50014 75021 150042 225063 450126