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212060520 = 2332571943103
BaseRepresentation
bin11001010001111…
…00100101101000
3112210000210100100
430220330211220
5413241414040
633013105400
75153325150
oct1450744550
9483023310
10212060520
11a9780231
125b028260
1334c1a9c9
1420241760
151393cb30
hexca3c968

212060520 has 384 divisors, whose sum is σ = 856627200. Its totient is φ = 44416512.

The previous prime is 212060507. The next prime is 212060551. The reversal of 212060520 is 25060212.

212060520 is a `hidden beast` number, since 21 + 20 + 605 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212060493 and 212060502.

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 95 ways as a sum of consecutive naturals, for example, 2058789 + ... + 2058891.

It is an arithmetic number, because the mean of its divisors is an integer number (2230800).

Almost surely, 2212060520 is an apocalyptic number.

212060520 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 212060520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428313600).

212060520 is an abundant number, since it is smaller than the sum of its proper divisors (644566680).

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

212060520 is a wasteful number, since it uses less digits than its factorization.

212060520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212060520 is about 14562.2978955933. The cubic root of 212060520 is about 596.3299300833.

The spelling of 212060520 in words is "two hundred twelve million, sixty thousand, five hundred twenty".