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399000 = 23353719
BaseRepresentation
bin1100001011010011000
3202021022210
41201122120
5100232000
612315120
73251160
oct1413230
9667283
10399000
11252858
12172aa0
1310c7c4
14a55a0
157d350
hex61698

399000 has 128 divisors (see below), whose sum is σ = 1497600. Its totient is φ = 86400.

The previous prime is 398989. The next prime is 399023. The reversal of 399000 is 993.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

399000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20991 + ... + 21009.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2399000 is an apocalyptic number.

399000 is a gapful number since it is divisible by the number (30) 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 399000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748800).

399000 is an abundant number, since it is smaller than the sum of its proper divisors (1098600).

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

399000 is a wasteful number, since it uses less digits than its factorization.

399000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 399000 is about 631.6644678942. The cubic root of 399000 is about 73.6191782095.

Adding to 399000 its reverse (993), we get a palindrome (399993).

The spelling of 399000 in words is "three hundred ninety-nine thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 25 28 30 35 38 40 42 50 56 57 60 70 75 76 84 95 100 105 114 120 125 133 140 150 152 168 175 190 200 210 228 250 266 280 285 300 350 375 380 399 420 456 475 500 525 532 570 600 665 700 750 760 798 840 875 950 1000 1050 1064 1140 1330 1400 1425 1500 1596 1750 1900 1995 2100 2280 2375 2625 2660 2850 3000 3192 3325 3500 3800 3990 4200 4750 5250 5320 5700 6650 7000 7125 7980 9500 9975 10500 11400 13300 14250 15960 16625 19000 19950 21000 26600 28500 33250 39900 49875 57000 66500 79800 99750 133000 199500 399000