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289180190 = 25131947253
BaseRepresentation
bin10001001111001…
…000101000011110
3202011010212122102
4101033020220132
51043012231230
644410045102
710110663635
oct2117105036
9664125572
10289180190
111392643a2
1280a19792
1347bb0050
142a59851c
151a5c3045
hex113c8a1e

289180190 has 96 divisors (see below), whose sum is σ = 614265120. Its totient is φ = 97134336.

The previous prime is 289180169. The next prime is 289180193. The reversal of 289180190 is 91081982.

It is a super-2 number, since 2×2891801902 = 167250364576872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289180193) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5456204 + ... + 5456256.

It is an arithmetic number, because the mean of its divisors is an integer number (6398595).

Almost surely, 2289180190 is an apocalyptic number.

289180190 is an abundant number, since it is smaller than the sum of its proper divisors (325084930).

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

289180190 is a wasteful number, since it uses less digits than its factorization.

289180190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The square root of 289180190 is about 17005.2988800550. The cubic root of 289180190 is about 661.2862809343.

The spelling of 289180190 in words is "two hundred eighty-nine million, one hundred eighty thousand, one hundred ninety".

Divisors: 1 2 5 10 13 19 26 38 47 53 65 94 95 106 130 190 235 247 265 470 494 530 611 689 893 1007 1222 1235 1378 1786 2014 2209 2470 2491 3055 3445 4418 4465 4982 5035 6110 6890 8930 10070 11045 11609 12455 13091 22090 23218 24910 26182 28717 32383 41971 47329 57434 58045 64766 65455 83942 94658 116090 117077 130910 143585 161915 209855 234154 236645 287170 323830 419710 473290 545623 585385 615277 1091246 1170770 1230554 1522001 2224463 2728115 3044002 3076385 4448926 5456230 6152770 7610005 11122315 15220010 22244630 28918019 57836038 144590095 289180190