Search a number
-
+
1398816 = 25331619
BaseRepresentation
bin101010101100000100000
32122001211000
411111200200
5324230231
645552000
714614116
oct5254040
92561730
101398816
11875a51
12575600
1339c903
14285ab6
151c96e6
hex155820

1398816 has 48 divisors (see below), whose sum is σ = 4082400. Its totient is φ = 465984.

The previous prime is 1398781. The next prime is 1398841. The reversal of 1398816 is 6188931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam 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 7 ways as a sum of consecutive naturals, for example, 55 + ... + 1673.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

21398816 is an apocalyptic number.

1398816 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 1398816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041200).

1398816 is an abundant number, since it is smaller than the sum of its proper divisors (2683584).

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

1398816 is a wasteful number, since it uses less digits than its factorization.

1398816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1624 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1398816 is about 1182.7155194720. The cubic root of 1398816 is about 111.8373489397.

The spelling of 1398816 in words is "one million, three hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1619 3238 4857 6476 9714 12952 14571 19428 25904 29142 38856 43713 51808 58284 77712 87426 116568 155424 174852 233136 349704 466272 699408 1398816