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212406080 = 265679907
BaseRepresentation
bin11001010100100…
…00111101000000
3112210200100100212
430222100331000
5413333443310
633024333252
75156264465
oct1452207500
9483610325
10212406080
11a9996917
125b174228
133500c093
14202d166c
15139aa205
hexca90f40

212406080 has 56 divisors (see below), whose sum is σ = 513392928. Its totient is φ = 83685888.

The previous prime is 212406071. The next prime is 212406097. The reversal of 212406080 is 80604212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16487 + ... + 26393.

Almost surely, 2212406080 is an apocalyptic number.

212406080 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 212406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256696464).

212406080 is an abundant number, since it is smaller than the sum of its proper divisors (300986848).

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

212406080 is an equidigital number, since it uses as much as digits as its factorization.

212406080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 212406080 is about 14574.1579516623. The cubic root of 212406080 is about 596.6536677602.

The spelling of 212406080 in words is "two hundred twelve million, four hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2680 4288 5360 9907 10720 19814 21440 39628 49535 79256 99070 158512 198140 317024 396280 634048 663769 792560 1327538 1585120 2655076 3170240 3318845 5310152 6637690 10620304 13275380 21240608 26550760 42481216 53101520 106203040 212406080