Search a number
-
+
1018080 = 253257101
BaseRepresentation
bin11111000100011100000
31220201112200
43320203200
5230034310
633453200
711440110
oct3704340
91821480
101018080
11635998
12411200
1329851b
141c7040
151519c0
hexf88e0

1018080 has 144 divisors (see below), whose sum is σ = 4009824. Its totient is φ = 230400.

The previous prime is 1018057. The next prime is 1018091. The reversal of 1018080 is 808101.

It is a happy number.

It is a Cunningham number, because it is equal to 10092-1.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10030 + ... + 10130.

It is an arithmetic number, because the mean of its divisors is an integer number (27846).

21018080 is an apocalyptic number.

1018080 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 1018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004912).

1018080 is an abundant number, since it is smaller than the sum of its proper divisors (2991744).

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

1018080 is a wasteful number, since it uses less digits than its factorization.

1018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1018080 is about 1008.9995044597. Note that the first 3 decimals coincide. The cubic root of 1018080 is about 100.5990706437.

The spelling of 1018080 in words is "one million, eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 101 105 112 120 126 140 144 160 168 180 202 210 224 240 252 280 288 303 315 336 360 404 420 480 504 505 560 606 630 672 707 720 808 840 909 1008 1010 1120 1212 1260 1414 1440 1515 1616 1680 1818 2016 2020 2121 2424 2520 2828 3030 3232 3360 3535 3636 4040 4242 4545 4848 5040 5656 6060 6363 7070 7272 8080 8484 9090 9696 10080 10605 11312 12120 12726 14140 14544 16160 16968 18180 21210 22624 24240 25452 28280 29088 31815 33936 36360 42420 48480 50904 56560 63630 67872 72720 84840 101808 113120 127260 145440 169680 203616 254520 339360 509040 1018080