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210530286540 = 2238572137239
BaseRepresentation
bin1100010000010010010…
…1010011101111001100
3202010102012212200000000
43010010211103233030
511422131223132130
6240414414404300
721132064623600
oct3040445235714
9663365780000
10210530286540
1181315949352
1234976200690
1316b11b36c62
14a292841500
155722b7e260
hex3104953bcc

210530286540 has 648 divisors, whose sum is σ = 780285804480. Its totient is φ = 47570084352.

The previous prime is 210530286529. The next prime is 210530286541. The reversal of 210530286540 is 45682035012.

210530286540 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 30 + 2 + 86 + 540 = 666.

It is a super-2 number, since 2×2105302865402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 210530286495 and 210530286504.

It is not an unprimeable number, because it can be changed into a prime (210530286541) 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 215 ways as a sum of consecutive naturals, for example, 880879741 + ... + 880879979.

It is an arithmetic number, because the mean of its divisors is an integer number (1204144760).

Almost surely, 2210530286540 is an apocalyptic number.

210530286540 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 210530286540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390142902240).

210530286540 is an abundant number, since it is smaller than the sum of its proper divisors (569755517940).

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

210530286540 is a wasteful number, since it uses less digits than its factorization.

210530286540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 210530286540 in words is "two hundred ten billion, five hundred thirty million, two hundred eighty-six thousand, five hundred forty".