Search a number
-
+
189208080 = 243251913831
BaseRepresentation
bin10110100011100…
…01011000010000
3111012000202200200
423101301120100
5341414124310
630435215200
74455146025
oct1321613020
9435022620
10189208080
1197891916
1253447500
1330279159
141b1b354c
15119269c0
hexb471610

189208080 has 120 divisors (see below), whose sum is σ = 668915520. Its totient is φ = 47796480.

The previous prime is 189208073. The next prime is 189208087. The reversal of 189208080 is 80802981.

It is an interprime number because it is at equal distance from previous prime (189208073) and next prime (189208087).

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (189208087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6765 + ... + 20595.

It is an arithmetic number, because the mean of its divisors is an integer number (5574296).

Almost surely, 2189208080 is an apocalyptic number.

189208080 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 189208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334457760).

189208080 is an abundant number, since it is smaller than the sum of its proper divisors (479707440).

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

189208080 is a wasteful number, since it uses less digits than its factorization.

189208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13860 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 189208080 is about 13755.2927995009. The cubic root of 189208080 is about 574.0898822044.

It can be divided in two parts, 18920 and 8080, that added together give a cube (27000 = 303).

The spelling of 189208080 in words is "one hundred eighty-nine million, two hundred eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 13831 27662 41493 55324 69155 82986 110648 124479 138310 165972 207465 221296 248958 262789 276620 331944 414930 497916 525578 553240 622395 663888 788367 829860 995832 1051156 1106480 1244790 1313945 1576734 1659720 1991664 2102312 2365101 2489580 2627890 3153468 3319440 3941835 4204624 4730202 4979160 5255780 6306936 7883670 9460404 9958320 10511560 11825505 12613872 15767340 18920808 21023120 23651010 31534680 37841616 47302020 63069360 94604040 189208080