Search a number
-
+
1213488 = 2433532
BaseRepresentation
bin100101000010000110000
32021122121000
410220100300
5302312423
642002000
713212603
oct4502060
92248530
101213488
11759791
124a6300
13336453
1423833a
1518e843
hex128430

1213488 has 60 divisors (see below), whose sum is σ = 3550120. Its totient is φ = 396864.

The previous prime is 1213483. The next prime is 1213517. The reversal of 1213488 is 8843121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×12134882 = 2945106252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1213481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22870 + ... + 22922.

21213488 is an apocalyptic number.

1213488 is a gapful number since it is divisible by the number (18) 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 1213488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775060).

1213488 is an abundant number, since it is smaller than the sum of its proper divisors (2336632).

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

1213488 is an equidigital number, since it uses as much as digits as its factorization.

1213488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 58 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1213488 is about 1101.5843136138. The cubic root of 1213488 is about 106.6625171997.

Multiplying 1213488 by its sum of digits (27), we get a square (32764176 = 57242).

1213488 divided by its sum of digits (27) gives a palindrome (44944).

The spelling of 1213488 in words is "one million, two hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2809 2862 3816 5618 5724 7632 8427 11236 11448 16854 22472 22896 25281 33708 44944 50562 67416 75843 101124 134832 151686 202248 303372 404496 606744 1213488