Search a number
-
+
190830900 = 2235213167293
BaseRepresentation
bin10110101111111…
…01100100110100
3111022002012210010
423113331210310
5342323042100
630534100220
74505015211
oct1327754464
9438065703
10190830900
11987a0097
1253aaa670
13306c69c0
141b4b6b08
1511b47750
hexb5fd934

190830900 has 144 divisors (see below), whose sum is σ = 600211584. Its totient is φ = 46533120.

The previous prime is 190830877. The next prime is 190830907. The reversal of 190830900 is 9038091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190830907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651154 + ... + 651446.

It is an arithmetic number, because the mean of its divisors is an integer number (4168136).

Almost surely, 2190830900 is an apocalyptic number.

190830900 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 190830900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300105792).

190830900 is an abundant number, since it is smaller than the sum of its proper divisors (409380684).

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

190830900 is a wasteful number, since it uses less digits than its factorization.

190830900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 190830900 is about 13814.1557831089. The cubic root of 190830900 is about 575.7265170660.

Adding to 190830900 its reverse (9038091), we get a palindrome (199868991).

The spelling of 190830900 in words is "one hundred ninety million, eight hundred thirty thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 167 195 260 293 300 325 334 390 501 586 650 668 780 835 879 975 1002 1172 1300 1465 1670 1758 1950 2004 2171 2505 2930 3340 3516 3809 3900 4175 4342 4395 5010 5860 6513 7325 7618 8350 8684 8790 10020 10855 11427 12525 13026 14650 15236 16700 17580 19045 21710 21975 22854 25050 26052 29300 32565 38090 43420 43950 45708 48931 50100 54275 57135 65130 76180 87900 95225 97862 108550 114270 130260 146793 162825 190450 195724 217100 228540 244655 285675 293586 325650 380900 489310 571350 587172 636103 651300 733965 978620 1142700 1223275 1272206 1467930 1908309 2446550 2544412 2935860 3180515 3669825 3816618 4893100 6361030 7339650 7633236 9541545 12722060 14679300 15902575 19083090 31805150 38166180 47707725 63610300 95415450 190830900