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1331424 = 25332367
BaseRepresentation
bin101000101000011100000
32111122101000
411011003200
5320101144
644312000
714213463
oct5050340
92448330
101331424
1182a356
12542600
13378033
142692da
151b4769
hex1450e0

1331424 has 96 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 418176.

The previous prime is 1331411. The next prime is 1331431. The reversal of 1331424 is 4241331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1331397 and 1331406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19839 + ... + 19905.

It is an arithmetic number, because the mean of its divisors is an integer number (42840).

21331424 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 1331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1331424 is an abundant number, since it is smaller than the sum of its proper divisors (2781216).

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

1331424 is a wasteful number, since it uses less digits than its factorization.

1331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 1331424 is about 1153.8734765996. The cubic root of 1331424 is about 110.0116792007.

Adding to 1331424 its reverse (4241331), we get a palindrome (5572755).

The spelling of 1331424 in words is "one million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 67 69 72 92 96 108 134 138 144 184 201 207 216 268 276 288 368 402 414 432 536 552 603 621 736 804 828 864 1072 1104 1206 1242 1541 1608 1656 1809 2144 2208 2412 2484 3082 3216 3312 3618 4623 4824 4968 6164 6432 6624 7236 9246 9648 9936 12328 13869 14472 18492 19296 19872 24656 27738 28944 36984 41607 49312 55476 57888 73968 83214 110952 147936 166428 221904 332856 443808 665712 1331424