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1012224 = 293659
BaseRepresentation
bin11110111001000000000
31220102111210
43313020000
5224342344
633410120
711414043
oct3671000
91812453
101012224
11631554
12409940
13295965
141c4c5a
1514edb9
hexf7200

1012224 has 40 divisors (see below), whose sum is σ = 2700720. Its totient is φ = 336896.

The previous prime is 1012217. The next prime is 1012229. The reversal of 1012224 is 4222101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1012229) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1207 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (67518).

21012224 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 1012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350360).

1012224 is an abundant number, since it is smaller than the sum of its proper divisors (1688496).

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

1012224 is an frugal number, since it uses more digits than its factorization.

1012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1012224 is about 1006.0934350248. The cubic root of 1012224 is about 100.4058175600.

Adding to 1012224 its reverse (4222101), we get a palindrome (5234325).

The spelling of 1012224 in words is "one million, twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 768 1318 1536 1977 2636 3954 5272 7908 10544 15816 21088 31632 42176 63264 84352 126528 168704 253056 337408 506112 1012224