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2097327000 = 23353838423
BaseRepresentation
bin111110100000010…
…1010101110011000
312102011111020202210
41331000222232120
513243403431000
6544040555120
7102654661656
oct17500525630
95364436683
102097327000
119869828aa
124a6482aa0
132756932c2
1415c791dd6
15c41da350
hex7d02ab98

2097327000 has 128 divisors (see below), whose sum is σ = 6623285760. Its totient is φ = 552483200.

The previous prime is 2097326999. The next prime is 2097327049. The reversal of 2097327000 is 7237902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244789 + ... + 253211.

It is an arithmetic number, because the mean of its divisors is an integer number (51744420).

Almost surely, 22097327000 is an apocalyptic number.

2097327000 is a gapful number since it is divisible by the number (20) 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 2097327000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311642880).

2097327000 is an abundant number, since it is smaller than the sum of its proper divisors (4525958760).

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

2097327000 is a wasteful number, since it uses less digits than its factorization.

2097327000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8530 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 2097327000 is about 45796.5828419545. The cubic root of 2097327000 is about 1280.0356028509.

The spelling of 2097327000 in words is "two billion, ninety-seven million, three hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 249 250 300 332 375 415 498 500 600 664 750 830 996 1000 1245 1500 1660 1992 2075 2490 3000 3320 4150 4980 6225 8300 8423 9960 10375 12450 16600 16846 20750 24900 25269 31125 33692 41500 42115 49800 50538 62250 67384 83000 84230 101076 124500 126345 168460 202152 210575 249000 252690 336920 421150 505380 631725 699109 842300 1010760 1052875 1263450 1398218 1684600 2097327 2105750 2526900 2796436 3158625 3495545 4194654 4211500 5053800 5592872 6317250 6991090 8389308 8423000 10486635 12634500 13982180 16778616 17477725 20973270 25269000 27964360 34955450 41946540 52433175 69910900 83893080 87388625 104866350 139821800 174777250 209732700 262165875 349554500 419465400 524331750 699109000 1048663500 2097327000