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609980000 = 255474357
BaseRepresentation
bin100100010110111…
…000111001100000
31120111210012020212
4210112320321200
52222123330000
6140305553252
721054513230
oct4426707140
91514705225
10609980000
11293355003
12150345828
13994b1316
145b023cc0
153883ec35
hex245b8e60

609980000 has 120 divisors (see below), whose sum is σ = 1715413392. Its totient is φ = 209088000.

The previous prime is 609979973. The next prime is 609980071. The reversal of 609980000 is 89906.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137822 + ... + 142178.

Almost surely, 2609980000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857706696).

609980000 is an abundant number, since it is smaller than the sum of its proper divisors (1105433392).

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

609980000 is an equidigital number, since it uses as much as digits as its factorization.

609980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4394 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 609980000 is about 24697.7731789730. The cubic root of 609980000 is about 848.0833399758.

The spelling of 609980000 in words is "six hundred nine million, nine hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4357 4375 5000 5600 7000 8714 8750 10000 14000 17428 17500 20000 21785 28000 30499 34856 35000 43570 60998 69712 70000 87140 108925 121996 139424 140000 152495 174280 217850 243992 304990 348560 435700 487984 544625 609980 697120 762475 871400 975968 1089250 1219960 1524950 1742800 2178500 2439920 2723125 3049900 3485600 3812375 4357000 4879840 5446250 6099800 7624750 8714000 10892500 12199600 15249500 17428000 19061875 21785000 24399200 30499000 38123750 43570000 60998000 76247500 87140000 121996000 152495000 304990000 609980000