Search a number
-
+
82091160 = 23325376163
BaseRepresentation
bin1001110010010…
…01110010011000
312201110122220100
410321021302120
5132003404120
612051255400
72014522554
oct471116230
9181418810
1082091160
114237a338
12235aa560
1314013168
14ac8c864
157318490
hex4e49c98

82091160 has 96 divisors (see below), whose sum is σ = 274051440. Its totient is φ = 21295872.

The previous prime is 82091159. The next prime is 82091179. The reversal of 82091160 is 6119028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10239 + ... + 16401.

Almost surely, 282091160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82091160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137025720).

82091160 is an abundant number, since it is smaller than the sum of its proper divisors (191960280).

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

82091160 is a wasteful number, since it uses less digits than its factorization.

82091160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 82091160 is about 9060.4172089369. The cubic root of 82091160 is about 434.6090820165.

The spelling of 82091160 in words is "eighty-two million, ninety-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6163 6660 12326 13320 18489 24652 30815 36978 49304 55467 61630 73956 92445 110934 123260 147912 184890 221868 228031 246520 277335 369780 443736 456062 554670 684093 739560 912124 1109340 1140155 1368186 1824248 2052279 2218680 2280310 2736372 3420465 4104558 4560620 5472744 6840930 8209116 9121240 10261395 13681860 16418232 20522790 27363720 41045580 82091160