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213081084 = 223310718439
BaseRepresentation
bin11001011001101…
…01101111111100
3112211221122022000
430230311233330
5414022043314
633051022300
75165105436
oct1454655774
9484848260
10213081084
11aa307a77
125b43a990
13351b73a8
1420429656
1513a90209
hexcb35bfc

213081084 has 48 divisors (see below), whose sum is σ = 557625600. Its totient is φ = 70359408.

The previous prime is 213081079. The next prime is 213081097. The reversal of 213081084 is 480180312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (11617200).

Almost surely, 2213081084 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 213081084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278812800).

213081084 is an abundant number, since it is smaller than the sum of its proper divisors (344544516).

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

213081084 is a wasteful number, since it uses less digits than its factorization.

213081084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18559 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 213081084 is about 14597.2971470749. The cubic root of 213081084 is about 597.2850334575.

The spelling of 213081084 in words is "two hundred thirteen million, eighty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 11556 18439 36878 55317 73756 110634 165951 221268 331902 497853 663804 995706 1972973 1991412 3945946 5918919 7891892 11837838 17756757 23675676 35513514 53270271 71027028 106540542 213081084