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210081144 = 233713432237
BaseRepresentation
bin11001000010110…
…01010101111000
3112122022020011010
430201121111320
5412240044034
632502433520
75130442320
oct1441312570
9478266133
10210081144
11a8649089
125a4328a0
13346a6a90
141dc88280
151369b3e9
hexc859578

210081144 has 128 divisors (see below), whose sum is σ = 661731840. Its totient is φ = 54093312.

The previous prime is 210081139. The next prime is 210081161. The reversal of 210081144 is 441180012.

It is a happy number.

210081144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 210081144.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 92794 + ... + 95030.

It is an arithmetic number, because the mean of its divisors is an integer number (5169780).

Almost surely, 2210081144 is an apocalyptic number.

210081144 is a gapful number since it is divisible by the number (24) 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 210081144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330865920).

210081144 is an abundant number, since it is smaller than the sum of its proper divisors (451650696).

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

210081144 is a wasteful number, since it uses less digits than its factorization.

210081144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 210081144 is about 14494.1762097747. The cubic root of 210081144 is about 594.4687431325.

The spelling of 210081144 in words is "two hundred ten million, eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 43 52 56 78 84 86 91 104 129 156 168 172 182 258 273 301 312 344 364 516 546 559 602 728 903 1032 1092 1118 1204 1677 1806 2184 2236 2237 2408 3354 3612 3913 4472 4474 6708 6711 7224 7826 8948 11739 13416 13422 15652 15659 17896 23478 26844 29081 31304 31318 46956 46977 53688 58162 62636 87243 93912 93954 96191 116324 125272 174486 187908 192382 203567 232648 288573 348972 375816 384764 407134 577146 610701 673337 697944 769528 814268 1154292 1221402 1250483 1346674 1628536 2020011 2308584 2442804 2500966 2693348 3751449 4040022 4885608 5001932 5386696 7502898 8080044 8753381 10003864 15005796 16160088 17506762 26260143 30011592 35013524 52520286 70027048 105040572 210081144