Search a number
-
+
1189100 = 2252112347
BaseRepresentation
bin100100010010011101100
32020102010202
410202103230
5301022400
641253032
713051523
oct4422354
92212122
101189100
11742430
12494178
13328313
1422d4ba
151874d5
hex1224ec

1189100 has 72 divisors (see below), whose sum is σ = 2999808. Its totient is φ = 404800.

The previous prime is 1189093. The next prime is 1189109. The reversal of 1189100 is 19811.

1189100 is nontrivially palindromic in base 3 and base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1189109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25277 + ... + 25323.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

21189100 is an apocalyptic number.

1189100 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 1189100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904).

1189100 is an abundant number, since it is smaller than the sum of its proper divisors (1810708).

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

1189100 is a wasteful number, since it uses less digits than its factorization.

1189100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 1189100 is about 1090.4586191140. The cubic root of 1189100 is about 105.9431283865.

It can be divided in two parts, 11 and 89100, that multiplied together give a square (980100 = 9902).

The spelling of 1189100 in words is "one million, one hundred eighty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 47 50 55 92 94 100 110 115 188 220 230 235 253 275 460 470 506 517 550 575 940 1012 1034 1081 1100 1150 1175 1265 2068 2162 2300 2350 2530 2585 4324 4700 5060 5170 5405 6325 10340 10810 11891 12650 12925 21620 23782 25300 25850 27025 47564 51700 54050 59455 108100 118910 237820 297275 594550 1189100