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212060000 = 255423461
BaseRepresentation
bin11001010001111…
…00011101100000
3112210000202122002
430220330131200
5413241410000
633013103132
75153323505
oct1450743540
9483022562
10212060000
11a977a8a9
125b027aa8
1334c1a6b9
14202414ac
151393c8d5
hexca3c760

212060000 has 120 divisors (see below), whose sum is σ = 545562864. Its totient is φ = 80960000.

The previous prime is 212059979. The next prime is 212060027. The reversal of 212060000 is 60212.

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, 459770 + ... + 460230.

Almost surely, 2212060000 is an apocalyptic number.

212060000 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 212060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272781432).

212060000 is an abundant number, since it is smaller than the sum of its proper divisors (333502864).

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

212060000 is an equidigital number, since it uses as much as digits as its factorization.

212060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 212060000 is about 14562.2800412573. The cubic root of 212060000 is about 596.3294426567.

The spelling of 212060000 in words is "two hundred twelve million, sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 461 500 575 625 736 800 920 922 1000 1150 1250 1840 1844 2000 2300 2305 2500 2875 3680 3688 4000 4600 4610 5000 5750 7376 9200 9220 10000 10603 11500 11525 14375 14752 18400 18440 20000 21206 23000 23050 28750 36880 42412 46000 46100 53015 57500 57625 73760 84824 92000 92200 106030 115000 115250 169648 184400 212060 230000 230500 265075 288125 339296 368800 424120 460000 461000 530150 576250 848240 922000 1060300 1152500 1325375 1696480 1844000 2120600 2305000 2650750 4241200 4610000 5301500 6626875 8482400 9220000 10603000 13253750 21206000 26507500 42412000 53015000 106030000 212060000