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154000 = 2453711
BaseRepresentation
bin100101100110010000
321211020201
4211212100
514412000
63144544
71210660
oct454620
9254221
10154000
11a5780
1275154
1355132
14401a0
153096a
hex25990

154000 has 80 divisors (see below), whose sum is σ = 464256. Its totient is φ = 48000.

The previous prime is 153997. The next prime is 154001. The reversal of 154000 is 451.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (154001) 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 15 ways as a sum of consecutive naturals, for example, 13995 + ... + 14005.

2154000 is an apocalyptic number.

154000 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 154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232128).

154000 is an abundant number, since it is smaller than the sum of its proper divisors (310256).

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

154000 is a wasteful number, since it uses less digits than its factorization.

154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 154000 is about 392.4283374070. The cubic root of 154000 is about 53.6010841097.

154000 divided by its sum of digits (10) gives a triangular number (15400 = T175).

Adding to 154000 its reverse (451), we get a palindrome (154451).

The spelling of 154000 in words is "one hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000