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189350980 = 225713253151
BaseRepresentation
bin10110100100101…
…00010001000100
3111012022000201021
423102110101010
5341433212410
630442240524
74456312450
oct1322242104
9435260637
10189350980
119797a215
12534b6144
13302c9200
141b20d660
1511953eda
hexb494444

189350980 has 144 divisors (see below), whose sum is σ = 504693504. Its totient is φ = 58406400.

The previous prime is 189350969. The next prime is 189350989. The reversal of 189350980 is 89053981.

It is not an unprimeable number, because it can be changed into a prime (189350989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1253905 + ... + 1254055.

It is an arithmetic number, because the mean of its divisors is an integer number (3504816).

Almost surely, 2189350980 is an apocalyptic number.

189350980 is a gapful number since it is divisible by the number (10) 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 189350980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252346752).

189350980 is an abundant number, since it is smaller than the sum of its proper divisors (315342524).

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

189350980 is a wasteful number, since it uses less digits than its factorization.

189350980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 189350980 is about 13760.4861832713. The cubic root of 189350980 is about 574.2343735669.

The spelling of 189350980 in words is "one hundred eighty-nine million, three hundred fifty thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 151 169 182 212 260 265 302 338 364 371 455 530 604 676 689 742 755 845 910 1057 1060 1183 1378 1484 1510 1690 1820 1855 1963 2114 2366 2756 3020 3380 3445 3710 3926 4228 4732 4823 5285 5915 6890 7420 7852 8003 8957 9646 9815 10570 11830 13741 13780 16006 17914 19292 19630 21140 23660 24115 25519 27482 32012 35828 39260 40015 44785 48230 51038 54964 56021 62699 68705 80030 89570 96460 102076 104039 112042 125398 127595 137410 160060 178633 179140 208078 224084 250796 255190 274820 280105 313495 357266 416156 510380 520195 560210 626990 714532 728273 893165 1040390 1120420 1253980 1352507 1456546 1786330 2080780 2705014 2913092 3572660 3641365 5410028 6762535 7282730 9467549 13525070 14565460 18935098 27050140 37870196 47337745 94675490 189350980