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399897000 = 2334534937
BaseRepresentation
bin10111110101011…
…111000110101000
31000212110212120000
4113311133012220
51304333201000
6103403103000
712624032316
oct2765370650
91025425500
10399897000
11195805598
12b1b11a60
1364b06759
143b1790b6
1525193000
hex17d5f1a8

399897000 has 160 divisors (see below), whose sum is σ = 1398145320. Its totient is φ = 106617600.

The previous prime is 399896983. The next prime is 399897007. The reversal of 399897000 is 798993.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 105637284 + 294259716 = 10278^2 + 17154^2 .

It is a super-2 number, since 2×3998970002 = 319835221218000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (399897007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78532 + ... + 83468.

Almost surely, 2399897000 is an apocalyptic number.

399897000 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 399897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699072660).

399897000 is an abundant number, since it is smaller than the sum of its proper divisors (998248320).

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

399897000 is a wasteful number, since it uses less digits than its factorization.

399897000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 399897000 is about 19997.4248342130. The cubic root of 399897000 is about 736.7430517583.

The spelling of 399897000 in words is "three hundred ninety-nine million, eight hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 4937 5400 6750 8100 9000 9874 10125 13500 14811 16200 19748 20250 24685 27000 29622 39496 40500 44433 49370 59244 74055 81000 88866 98740 118488 123425 133299 148110 177732 197480 222165 246850 266598 296220 355464 370275 399897 444330 493700 533196 592440 617125 666495 740550 799794 888660 987400 1066392 1110825 1234250 1332990 1481100 1599588 1777320 1851375 1999485 2221650 2468500 2665980 2962200 3199176 3332475 3702750 3998970 4443300 4937000 5331960 5554125 6664950 7405500 7997940 8886600 9997425 11108250 13329900 14811000 15995880 16662375 19994850 22216500 26659800 33324750 39989700 44433000 49987125 66649500 79979400 99974250 133299000 199948500 399897000