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189881670 = 235112172181
BaseRepresentation
bin10110101000101…
…01110101000110
3111020021222200110
423110111311012
5342102203140
630501453450
74463652606
oct1324256506
9436258613
10189881670
1198201a00
1253711286
1330453924
141b30ac06
1511a0b380
hexb515d46

189881670 has 144 divisors (see below), whose sum is σ = 535049424. Its totient is φ = 43084800.

The previous prime is 189881663. The next prime is 189881683. The reversal of 189881670 is 76188981.

189881670 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1048980 + ... + 1049160.

It is an arithmetic number, because the mean of its divisors is an integer number (3715621).

Almost surely, 2189881670 is an apocalyptic number.

189881670 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 189881670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267524712).

189881670 is an abundant number, since it is smaller than the sum of its proper divisors (345167754).

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

189881670 is a wasteful number, since it uses less digits than its factorization.

189881670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The square root of 189881670 is about 13779.7558033515. The cubic root of 189881670 is about 574.7703380241.

The spelling of 189881670 in words is "one hundred eighty-nine million, eight hundred eighty-one thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 121 165 170 181 187 242 255 289 330 362 363 374 510 543 561 578 605 726 867 905 935 1086 1122 1210 1445 1734 1810 1815 1870 1991 2057 2715 2805 2890 3077 3179 3630 3982 4114 4335 5430 5610 5973 6154 6171 6358 8670 9231 9537 9955 10285 11946 12342 15385 15895 18462 19074 19910 20570 21901 29865 30770 30855 31790 33847 34969 43802 46155 47685 52309 59730 61710 65703 67694 69938 92310 95370 101541 104618 104907 109505 131406 156927 169235 174845 203082 209814 219010 261545 313854 328515 338470 349690 372317 507705 523090 524535 575399 657030 744634 784635 1015410 1049070 1116951 1150798 1569270 1726197 1861585 2233902 2876995 3452394 3723170 5584755 5753990 6329389 8630985 11169510 12658778 17261970 18988167 31646945 37976334 63293890 94940835 189881670