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1252416 = 26311593
BaseRepresentation
bin100110001110001000000
32100121222210
410301301000
5310034131
642502120
713434234
oct4616100
92317883
101252416
11785a60
12504940
1334b099
142485c4
1519b146
hex131c40

1252416 has 56 divisors (see below), whose sum is σ = 3621024. Its totient is φ = 378880.

The previous prime is 1252411. The next prime is 1252421. The reversal of 1252416 is 6142521.

It is an interprime number because it is at equal distance from previous prime (1252411) and next prime (1252421).

It is a junction number, because it is equal to n+sod(n) for n = 1252392 and 1252401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252411) 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 7 ways as a sum of consecutive naturals, for example, 1816 + ... + 2408.

21252416 is an apocalyptic number.

1252416 is a gapful number since it is divisible by the number (16) 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 1252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810512).

1252416 is an abundant number, since it is smaller than the sum of its proper divisors (2368608).

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

1252416 is a wasteful number, since it uses less digits than its factorization.

1252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 609 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 1252416 is about 1119.1139352184. The cubic root of 1252416 is about 107.7910913593.

Adding to 1252416 its reverse (6142521), we get a palindrome (7394937).

The spelling of 1252416 in words is "one million, two hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 593 704 1056 1186 1779 2112 2372 3558 4744 6523 7116 9488 13046 14232 18976 19569 26092 28464 37952 39138 52184 56928 78276 104368 113856 156552 208736 313104 417472 626208 1252416