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1413252 = 2232371061
BaseRepresentation
bin101011001000010000100
32122210121200
411121002010
5330211002
650142500
715004161
oct5310204
92583550
101413252
11885885
12581a30
133a6359
1428b068
151cdb1c
hex159084

1413252 has 36 divisors (see below), whose sum is σ = 3672396. Its totient is φ = 457920.

The previous prime is 1413233. The next prime is 1413253. The reversal of 1413252 is 2523141.

1413252 is a `hidden beast` number, since 1 + 413 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 298116 = 1056^2 + 546^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (1413253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 802 + ... + 1862.

It is an arithmetic number, because the mean of its divisors is an integer number (102011).

21413252 is an apocalyptic number.

1413252 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 1413252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836198).

1413252 is an abundant number, since it is smaller than the sum of its proper divisors (2259144).

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

1413252 is a wasteful number, since it uses less digits than its factorization.

1413252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1103 counting only the distinct ones).

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

The square root of 1413252 is about 1188.8027590816. The cubic root of 1413252 is about 112.2207593110.

Adding to 1413252 its reverse (2523141), we get a palindrome (3936393).

The spelling of 1413252 in words is "one million, four hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1061 1332 2122 3183 4244 6366 9549 12732 19098 38196 39257 78514 117771 157028 235542 353313 471084 706626 1413252