Search a number
-
+
20081100 = 223521319271
BaseRepresentation
bin100110010011…
…0100111001100
31101210020002110
41030212213030
520120043400
61554224020
7332454324
oct114464714
941706073
1020081100
1110376256
126885010
134211310
14294a284
151b69e50
hex13269cc

20081100 has 144 divisors (see below), whose sum is σ = 66106880. Its totient is φ = 4665600.

The previous prime is 20081077. The next prime is 20081107. The reversal of 20081100 is 118002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20081107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73965 + ... + 74235.

Almost surely, 220081100 is an apocalyptic number.

20081100 is a gapful number since it is divisible by the number (20) 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 20081100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33053440).

20081100 is an abundant number, since it is smaller than the sum of its proper divisors (46025780).

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

20081100 is a wasteful number, since it uses less digits than its factorization.

20081100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 20081100 is about 4481.1940373075. The cubic root of 20081100 is about 271.8081656300.

Adding to 20081100 its reverse (118002), we get a palindrome (20199102).

The spelling of 20081100 in words is "twenty million, eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 25 26 30 38 39 50 52 57 60 65 75 76 78 95 100 114 130 150 156 190 195 228 247 260 271 285 300 325 380 390 475 494 542 570 650 741 780 813 950 975 988 1084 1140 1235 1300 1355 1425 1482 1626 1900 1950 2470 2710 2850 2964 3252 3523 3705 3900 4065 4940 5149 5420 5700 6175 6775 7046 7410 8130 10298 10569 12350 13550 14092 14820 15447 16260 17615 18525 20325 20596 21138 24700 25745 27100 30894 35230 37050 40650 42276 51490 52845 61788 66937 70460 74100 77235 81300 88075 102980 105690 128725 133874 154470 176150 200811 211380 257450 264225 267748 308940 334685 352300 386175 401622 514900 528450 669370 772350 803244 1004055 1056900 1338740 1544700 1673425 2008110 3346850 4016220 5020275 6693700 10040550 20081100