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1002252 = 223174
BaseRepresentation
bin11110100101100001100
31212220211110
43310230030
5224033002
633252020
711343006
oct3645414
91786743
101002252
11625009
12404010
13291264
141c1376
1514be6c
hexf4b0c

1002252 has 30 divisors (see below), whose sum is σ = 2484748. Its totient is φ = 314432.

The previous prime is 1002247. The next prime is 1002257. The reversal of 1002252 is 2522001.

1002252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002247) and next prime (1002257).

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

It is not an unprimeable number, because it can be changed into a prime (1002257) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 58948 + ... + 58964.

21002252 is an apocalyptic number.

1002252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242374).

1002252 is an abundant number, since it is smaller than the sum of its proper divisors (1482496).

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

1002252 is an frugal number, since it uses more digits than its factorization.

1002252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 1002252 is about 1001.1253667748. The cubic root of 1002252 is about 100.0750103870.

Multiplying 1002252 by its sum of digits (12), we get a square (12027024 = 34682).

1002252 divided by its sum of digits (12) gives a 4-th power (83521 = 174).

Adding to 1002252 its reverse (2522001), we get a palindrome (3524253).

The spelling of 1002252 in words is "one million, two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 3468 4913 9826 14739 19652 29478 58956 83521 167042 250563 334084 501126 1002252