Search a number
-
+
1027224 = 2332111297
BaseRepresentation
bin11111010110010011000
31221012002100
43322302120
5230332344
634003400
711505552
oct3726230
91835070
101027224
11641850
12416560
1329c733
141ca4d2
15154569
hexfac98

1027224 has 48 divisors (see below), whose sum is σ = 3037320. Its totient is φ = 311040.

The previous prime is 1027223. The next prime is 1027241. The reversal of 1027224 is 4227201.

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

It is a junction number, because it is equal to n+sod(n) for n = 1027197 and 1027206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144 + ... + 1440.

21027224 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 1027224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518660).

1027224 is an abundant number, since it is smaller than the sum of its proper divisors (2010096).

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

1027224 is a wasteful number, since it uses less digits than its factorization.

1027224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1027224 is about 1013.5205967320. The cubic root of 1027224 is about 100.8993540420.

It can be divided in two parts, 10272 and 24, that added together give a triangular number (10296 = T143).

The spelling of 1027224 in words is "one million, twenty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1297 2594 3891 5188 7782 10376 11673 14267 15564 23346 28534 31128 42801 46692 57068 85602 93384 114136 128403 171204 256806 342408 513612 1027224