Search a number
-
+
190113300 = 2232521316249
BaseRepresentation
bin10110101010011…
…10011000010100
3111020201202102100
423111032120110
5342132111200
630510442100
74465636116
oct1325163024
9436652370
10190113300
119834aa33
1253803330
13305051a0
141b36b3b6
1511a54d00
hexb54e614

190113300 has 108 divisors (see below), whose sum is σ = 641777500. Its totient is φ = 46794240.

The previous prime is 190113283. The next prime is 190113317. The reversal of 190113300 is 3311091.

It is an interprime number because it is at equal distance from previous prime (190113283) and next prime (190113317).

It can be written as a sum of positive squares in 6 ways, for example, as 15397776 + 174715524 = 3924^2 + 13218^2 .

It is a super-2 number, since 2×1901133002 = 72286133673780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 3576 + ... + 19824.

Almost surely, 2190113300 is an apocalyptic number.

190113300 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 190113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320888750).

190113300 is an abundant number, since it is smaller than the sum of its proper divisors (451664200).

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

190113300 is a wasteful number, since it uses less digits than its factorization.

190113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16282 (or 16272 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 190113300 is about 13788.1579625416. The cubic root of 190113300 is about 575.0039571246.

Adding to 190113300 its reverse (3311091), we get a palindrome (193424391).

The spelling of 190113300 in words is "one hundred ninety million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 16249 32498 48747 64996 81245 97494 146241 162490 194988 211237 243735 292482 324980 406225 422474 487470 584964 633711 731205 812450 844948 974940 1056185 1218675 1267422 1462410 1624900 1901133 2112370 2437350 2534844 2924820 3168555 3656025 3802266 4224740 4874700 5280925 6337110 7312050 7604532 9505665 10561850 12674220 14624100 15842775 19011330 21123700 31685550 38022660 47528325 63371100 95056650 190113300