[go: up one dir, main page]

Search a number
-
+
1081207000 = 235323291621
BaseRepresentation
bin100000001110001…
…1110100011011000
32210100111000011201
41000130132203120
54203242111000
6255142003544
735536051666
oct10034364330
92710430151
101081207000
11505349905
122621165b4
13143000a73
14a3849c36
1564dc296a
hex4071e8d8

1081207000 has 128 divisors (see below), whose sum is σ = 2732745600. Its totient is φ = 399168000.

The previous prime is 1081206983. The next prime is 1081207003. The reversal of 1081207000 is 7021801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081207003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 666190 + ... + 667810.

It is an arithmetic number, because the mean of its divisors is an integer number (21349575).

Almost surely, 21081207000 is an apocalyptic number.

1081207000 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 1081207000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366372800).

1081207000 is an abundant number, since it is smaller than the sum of its proper divisors (1651538600).

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

1081207000 is a wasteful number, since it uses less digits than its factorization.

1081207000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 1081207000 is about 32881.7122425217. The cubic root of 1081207000 is about 1026.3676369992.

Adding to 1081207000 its reverse (7021801), we get a palindrome (1088228801).

The spelling of 1081207000 in words is "one billion, eighty-one million, two hundred seven thousand".

Divisors: 1 2 4 5 8 10 20 23 25 29 40 46 50 58 92 100 115 116 125 145 184 200 230 232 250 290 460 500 575 580 667 725 920 1000 1150 1160 1334 1450 1621 2300 2668 2875 2900 3242 3335 3625 4600 5336 5750 5800 6484 6670 7250 8105 11500 12968 13340 14500 16210 16675 23000 26680 29000 32420 33350 37283 40525 47009 64840 66700 74566 81050 83375 94018 133400 149132 162100 166750 186415 188036 202625 235045 298264 324200 333500 372830 376072 405250 470090 667000 745660 810500 932075 940180 1081207 1175225 1491320 1621000 1864150 1880360 2162414 2350450 3728300 4324828 4660375 4700900 5406035 5876125 7456600 8649656 9320750 9401800 10812070 11752250 18641500 21624140 23504500 27030175 37283000 43248280 47009000 54060350 108120700 135150875 216241400 270301750 540603500 1081207000