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154400 = 2552193
BaseRepresentation
bin100101101100100000
321211210112
4211230200
514420100
63150452
71212101
oct455440
9254715
10154400
11a6004
1275428
135537c
14403a8
1530b35
hex25b20

154400 has 36 divisors (see below), whose sum is σ = 378882. Its totient is φ = 61440.

The previous prime is 154387. The next prime is 154409. The reversal of 154400 is 4451.

154400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 59536 = 308^2 + 244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154409) 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 5 ways as a sum of consecutive naturals, for example, 704 + ... + 896.

2154400 is an apocalyptic number.

154400 is a gapful number since it is divisible by the number (10) 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 154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189441).

154400 is an abundant number, since it is smaller than the sum of its proper divisors (224482).

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

154400 is a wasteful number, since it uses less digits than its factorization.

154400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 154400 is about 392.9376540878. The cubic root of 154400 is about 53.6474518526.

Adding to 154400 its reverse (4451), we get a palindrome (158851).

The spelling of 154400 in words is "one hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 193 200 386 400 772 800 965 1544 1930 3088 3860 4825 6176 7720 9650 15440 19300 30880 38600 77200 154400