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210985056 = 25323172311
BaseRepresentation
bin11001001001101…
…10000001100000
3112201000011002100
430210312001200
5413003010211
632534050400
75141225532
oct1444660140
9481004070
10210985056
11a9106217
125a7a9a00
1334932339
1420041852
15137c9156
hexc936060

210985056 has 72 divisors (see below), whose sum is σ = 602141904. Its totient is φ = 70076160.

The previous prime is 210985051. The next prime is 210985109. The reversal of 210985056 is 650589012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 210985056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210985051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90141 + ... + 92451.

It is an arithmetic number, because the mean of its divisors is an integer number (8363082).

Almost surely, 2210985056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301070952).

210985056 is an abundant number, since it is smaller than the sum of its proper divisors (391156848).

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

210985056 is a wasteful number, since it uses less digits than its factorization.

210985056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 210985056 is about 14525.3246435321. The cubic root of 210985056 is about 595.3201262048.

The spelling of 210985056 in words is "two hundred ten million, nine hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 1268 1902 2311 2536 2853 3804 4622 5072 5706 6933 7608 9244 10144 11412 13866 15216 18488 20799 22824 27732 30432 36976 41598 45648 55464 73952 83196 91296 110928 166392 221856 332784 665568 732587 1465174 2197761 2930348 4395522 5860696 6593283 8791044 11721392 13186566 17582088 23442784 26373132 35164176 52746264 70328352 105492528 210985056