Search a number
-
+
189990360 = 2334578377
BaseRepresentation
bin10110101001100…
…00010111011000
3111020111111210000
423110300113120
5342114142420
630504053000
74464614520
oct1324602730
9436444700
10189990360
119827662a
1253764160
1330491241
141b338680
1511a2d690
hexb5305d8

189990360 has 160 divisors (see below), whose sum is σ = 729891360. Its totient is φ = 43421184.

The previous prime is 189990341. The next prime is 189990371. The reversal of 189990360 is 63099981.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18492 + ... + 26868.

It is an arithmetic number, because the mean of its divisors is an integer number (4561821).

Almost surely, 2189990360 is an apocalyptic number.

189990360 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 189990360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364945680).

189990360 is an abundant number, since it is smaller than the sum of its proper divisors (539901000).

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

189990360 is a wasteful number, since it uses less digits than its factorization.

189990360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 189990360 is about 13783.6990681021. The cubic root of 189990360 is about 574.8799850339.

The spelling of 189990360 in words is "one hundred eighty-nine million, nine hundred ninety thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 945 1080 1134 1260 1512 1620 1890 2268 2520 2835 3240 3780 4536 5670 7560 8377 11340 16754 22680 25131 33508 41885 50262 58639 67016 75393 83770 100524 117278 125655 150786 167540 175917 201048 226179 234556 251310 293195 301572 335080 351834 376965 452358 469112 502620 527751 586390 603144 678537 703668 753930 879585 904716 1005240 1055502 1130895 1172780 1357074 1407336 1507860 1583253 1759170 1809432 2111004 2261790 2345560 2638755 2714148 3015720 3166506 3392685 3518340 4222008 4523580 4749759 5277510 5428296 6333012 6785370 7036680 7916265 9047160 9499518 10555020 12666024 13570740 15832530 18999036 21110040 23748795 27141480 31665060 37998072 47497590 63330120 94995180 189990360