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1393664 = 2101361
BaseRepresentation
bin101010100010000000000
32121210202012
411110100000
5324044124
645512052
714563106
oct5242000
92553665
101393664
11872098
12572628
1339a46c
14283c76
151c7e0e
hex154400

1393664 has 22 divisors (see below), whose sum is σ = 2788014. Its totient is φ = 696320.

The previous prime is 1393663. The next prime is 1393681. The reversal of 1393664 is 4663931.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 984064 + 409600 = 992^2 + 640^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1393664.

It is not an unprimeable number, because it can be changed into a prime (1393661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344 + ... + 1704.

21393664 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 1393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394007).

1393664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

1393664 is an equidigital number, since it uses as much as digits as its factorization.

1393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 1393664 is about 1180.5354717246. The cubic root of 1393664 is about 111.6998767587.

The spelling of 1393664 in words is "one million, three hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1361 2722 5444 10888 21776 43552 87104 174208 348416 696832 1393664