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190881306 = 233711291583
BaseRepresentation
bin10110110000010…
…01111000011010
3111022011202221000
423120021320122
5342331200211
630535125430
74505315160
oct1330117032
9438152830
10190881306
1198824a50
1253b13876
1330713925
141b4cb230
1511b57656
hexb609e1a

190881306 has 128 divisors (see below), whose sum is σ = 547430400. Its totient is φ = 47839680.

The previous prime is 190881269. The next prime is 190881323. The reversal of 190881306 is 603188091.

190881306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 119791 + ... + 121373.

It is an arithmetic number, because the mean of its divisors is an integer number (4276800).

Almost surely, 2190881306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190881306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273715200).

190881306 is an abundant number, since it is smaller than the sum of its proper divisors (356549094).

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

190881306 is a wasteful number, since it uses less digits than its factorization.

190881306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 190881306 is about 13815.9800955271. The cubic root of 190881306 is about 575.7772033299. Note that the first 3 decimals are identical.

The spelling of 190881306 in words is "one hundred ninety million, eight hundred eighty-one thousand, three hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 29 33 42 54 58 63 66 77 87 99 126 154 174 189 198 203 231 261 297 319 378 406 462 522 594 609 638 693 783 957 1218 1386 1566 1583 1827 1914 2079 2233 2871 3166 3654 4158 4466 4749 5481 5742 6699 8613 9498 10962 11081 13398 14247 17226 17413 20097 22162 28494 33243 34826 40194 42741 45907 52239 60291 66486 85482 91814 99729 104478 120582 121891 137721 156717 199458 243782 275442 299187 313434 321349 365673 413163 470151 504977 598374 642698 731346 826326 940302 964047 1009954 1097019 1239489 1514931 1928094 2194038 2478978 2892141 3029862 3291057 3534839 4544793 5784282 6582114 7069678 8676423 9089586 10604517 13634379 17352846 21209034 27268758 31813551 63627102 95440653 190881306