Search a number
-
+
189319800 = 233521916607
BaseRepresentation
bin10110100100011…
…00101001111000
3111012020102221110
423102030221320
5341431213200
630441440320
74456122525
oct1322145170
9435212843
10189319800
119795884a
12534a00a0
13302b7c67
141b20214c
1511949b50
hexb48ca78

189319800 has 96 divisors (see below), whose sum is σ = 617817600. Its totient is φ = 47825280.

The previous prime is 189319799. The next prime is 189319813. The reversal of 189319800 is 8913981.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 3097 + ... + 19703.

It is an arithmetic number, because the mean of its divisors is an integer number (6435600).

Almost surely, 2189319800 is an apocalyptic number.

189319800 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 189319800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308908800).

189319800 is an abundant number, since it is smaller than the sum of its proper divisors (428497800).

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

189319800 is a wasteful number, since it uses less digits than its factorization.

189319800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16645 (or 16636 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 189319800 is about 13759.3531824719. The cubic root of 189319800 is about 574.2028525424.

The spelling of 189319800 in words is "one hundred eighty-nine million, three hundred nineteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 16607 33214 49821 66428 83035 99642 132856 166070 199284 249105 315533 332140 398568 415175 498210 631066 664280 830350 946599 996420 1245525 1262132 1577665 1660700 1893198 1992840 2491050 2524264 3155330 3321400 3786396 4732995 4982100 6310660 7572792 7888325 9465990 9964200 12621320 15776650 18931980 23664975 31553300 37863960 47329950 63106600 94659900 189319800