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672000 = 283537
BaseRepresentation
bin10100100000100000000
31021010210220
42210010000
5133001000
622223040
75466120
oct2440400
91233726
10672000
1141997a
12284a80
131a6b44
14136c80
15d41a0
hexa4100

672000 has 144 divisors (see below), whose sum is σ = 2550912. Its totient is φ = 153600.

The previous prime is 671999. The next prime is 672019. The reversal of 672000 is 276.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95997 + ... + 96003.

2672000 is an apocalyptic number.

672000 is a gapful number since it is divisible by the number (60) 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 672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275456).

672000 is an abundant number, since it is smaller than the sum of its proper divisors (1878912).

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

672000 is an equidigital number, since it uses as much as digits as its factorization.

672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 672000 is about 819.7560612768. The cubic root of 672000 is about 87.5903827978.

672000 divided by its product of nonzero digits (84) gives a cube (8000 = 203).

Adding to 672000 its reverse (276), we get a palindrome (672276).

The spelling of 672000 in words is "six hundred seventy-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 280 300 320 336 350 375 384 400 420 448 480 500 525 560 600 640 672 700 750 768 800 840 875 896 960 1000 1050 1120 1200 1280 1344 1400 1500 1600 1680 1750 1792 1920 2000 2100 2240 2400 2625 2688 2800 3000 3200 3360 3500 3840 4000 4200 4480 4800 5250 5376 5600 6000 6400 6720 7000 8000 8400 8960 9600 10500 11200 12000 13440 14000 16000 16800 19200 21000 22400 24000 26880 28000 32000 33600 42000 44800 48000 56000 67200 84000 96000 112000 134400 168000 224000 336000 672000