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188720070 = 235721121061
BaseRepresentation
bin10110011111110…
…10001111000110
3111011002222021020
423033322033012
5341303020240
630420532010
74451044200
oct1317721706
9434088236
10188720070
1197589200
1253251006
1330137ca6
141b0c7770
151187c0d0
hexb3fa3c6

188720070 has 144 divisors (see below), whose sum is σ = 579673584. Its totient is φ = 39177600.

The previous prime is 188720047. The next prime is 188720071. The reversal of 188720070 is 70027881.

188720070 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188720071) 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 71 ways as a sum of consecutive naturals, for example, 177340 + ... + 178400.

It is an arithmetic number, because the mean of its divisors is an integer number (4025511).

Almost surely, 2188720070 is an apocalyptic number.

188720070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 188720070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289836792).

188720070 is an abundant number, since it is smaller than the sum of its proper divisors (390953514).

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

188720070 is a wasteful number, since it uses less digits than its factorization.

188720070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 188720070 is about 13737.5423566226. The cubic root of 188720070 is about 573.5958884743.

The spelling of 188720070 in words is "one hundred eighty-eight million, seven hundred twenty thousand, seventy".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 121 147 154 165 210 231 242 245 294 330 363 385 462 490 539 605 726 735 770 847 1061 1078 1155 1210 1470 1617 1694 1815 2122 2310 2541 2695 3183 3234 3630 4235 5082 5305 5390 5929 6366 7427 8085 8470 10610 11671 11858 12705 14854 15915 16170 17787 22281 23342 25410 29645 31830 35013 35574 37135 44562 51989 58355 59290 70026 74270 81697 88935 103978 111405 116710 128381 155967 163394 175065 177870 222810 245091 256762 259945 311934 350130 385143 408485 490182 519890 571879 641905 770286 779835 816970 898667 1143758 1225455 1283810 1559670 1715637 1797334 1925715 2450910 2696001 2859395 3431274 3851430 4493335 5392002 5718790 6290669 8578185 8986670 12581338 13480005 17156370 18872007 26960010 31453345 37744014 62906690 94360035 188720070