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1396224 = 2933101
BaseRepresentation
bin101010100111000000000
32121221021000
411110320000
5324134344
645532000
714603424
oct5247000
92557230
101396224
11874005
12574000
1339b68b
14284b84
151c8a69
hex154e00

1396224 has 80 divisors (see below), whose sum is σ = 4173840. Its totient is φ = 460800.

The previous prime is 1396223. The next prime is 1396237. The reversal of 1396224 is 4226931.

1396224 is a `hidden beast` number, since 1 + 39 + 622 + 4 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396223) 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, 13774 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (52173).

21396224 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 1396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086920).

1396224 is an abundant number, since it is smaller than the sum of its proper divisors (2777616).

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

1396224 is an equidigital number, since it uses as much as digits as its factorization.

1396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 1396224 is about 1181.6192280088. The cubic root of 1396224 is about 111.7682281873.

The spelling of 1396224 in words is "one million, three hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 256 288 303 384 404 432 512 576 606 768 808 864 909 1152 1212 1536 1616 1728 1818 2304 2424 2727 3232 3456 3636 4608 4848 5454 6464 6912 7272 9696 10908 12928 13824 14544 19392 21816 25856 29088 38784 43632 51712 58176 77568 87264 116352 155136 174528 232704 349056 465408 698112 1396224