Search a number
-
+
189166460 = 2257243672
BaseRepresentation
bin10110100011001…
…11001101111100
3111011221122121012
423101213031330
5341411311320
630434254352
74454613500
oct1321471574
9434848535
10189166460
119786361a
12534273b8
1330263222
141b1a2300
15119194c5
hexb46737c

189166460 has 108 divisors (see below), whose sum is σ = 480016152. Its totient is φ = 62403264.

The previous prime is 189166457. The next prime is 189166469. The reversal of 189166460 is 64661981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189166469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2823347 + ... + 2823413.

It is an arithmetic number, because the mean of its divisors is an integer number (4444594).

Almost surely, 2189166460 is an apocalyptic number.

189166460 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 189166460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240008076).

189166460 is an abundant number, since it is smaller than the sum of its proper divisors (290849692).

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

189166460 is a wasteful number, since it uses less digits than its factorization.

189166460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 189166460 is about 13753.7798441010. The cubic root of 189166460 is about 574.0477850363.

The spelling of 189166460 in words is "one hundred eighty-nine million, one hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 67 70 86 98 134 140 172 196 215 245 268 301 335 430 469 490 602 670 860 938 980 1204 1340 1505 1876 2107 2345 2881 3010 3283 4214 4489 4690 5762 6020 6566 8428 8978 9380 10535 11524 13132 14405 16415 17956 20167 21070 22445 28810 31423 32830 40334 42140 44890 57620 62846 65660 80668 89780 100835 125692 141169 157115 193027 201670 219961 282338 314230 386054 403340 439922 564676 628460 705845 772108 879844 965135 1099805 1351189 1411690 1930270 2199610 2702378 2823380 3860540 4399220 5404756 6755945 9458323 13511890 18916646 27023780 37833292 47291615 94583230 189166460