Search a number
-
+
1082227840 = 27519611459
BaseRepresentation
bin100000010000001…
…0111110010000000
32210102101212111121
41000200113302000
54204022242330
6255215522024
735550533131
oct10040276200
92712355447
101082227840
11505986881
12262529314
1314329a605
14a3a33c88
156502517a
hex40817c80

1082227840 has 128 divisors (see below), whose sum is σ = 2769912000. Its totient is φ = 403107840.

The previous prime is 1082227777. The next prime is 1082227849. The reversal of 1082227840 is 487222801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1082227796 and 1082227805.

It is not an unprimeable number, because it can be changed into a prime (1082227849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741031 + ... + 742489.

Almost surely, 21082227840 is an apocalyptic number.

1082227840 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 1082227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384956000).

1082227840 is an abundant number, since it is smaller than the sum of its proper divisors (1687684160).

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

1082227840 is a wasteful number, since it uses less digits than its factorization.

1082227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 1082227840 is about 32897.2314944586. The cubic root of 1082227840 is about 1026.6905562178.

The spelling of 1082227840 in words is "one billion, eighty-two million, two hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 61 64 76 80 95 122 128 152 160 190 244 304 305 320 380 488 608 610 640 760 976 1159 1216 1220 1459 1520 1952 2318 2432 2440 2918 3040 3904 4636 4880 5795 5836 6080 7295 7808 9272 9760 11590 11672 12160 14590 18544 19520 23180 23344 27721 29180 37088 39040 46360 46688 55442 58360 74176 88999 92720 93376 110884 116720 138605 148352 177998 185440 186752 221768 233440 277210 355996 370880 443536 444995 466880 554420 711992 741760 887072 889990 933760 1108840 1423984 1690981 1774144 1779980 2217680 2847968 3381962 3548288 3559960 4435360 5695936 6763924 7119920 8454905 8870720 11391872 13527848 14239840 16909810 17741440 27055696 28479680 33819620 54111392 56959360 67639240 108222784 135278480 216445568 270556960 541113920 1082227840