Search a number
-
+
1082391240 = 233571967819
BaseRepresentation
bin100000010000011…
…1111101011001000
32210102201011122110
41000200333223020
54204043004430
6255223222320
735552113410
oct10040775310
92712634573
101082391240
11505a88617
122625a79a0
13143326ab8
14a3a77640
15650587b0
hex4083fac8

1082391240 has 128 divisors (see below), whose sum is σ = 3906432000. Its totient is φ = 234379008.

The previous prime is 1082391239. The next prime is 1082391253. The reversal of 1082391240 is 421932801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1082391198 and 1082391207.

It is an unprimeable number.

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, 17950 + ... + 49869.

It is an arithmetic number, because the mean of its divisors is an integer number (30519000).

Almost surely, 21082391240 is an apocalyptic number.

1082391240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082391240 is an abundant number, since it is smaller than the sum of its proper divisors (2824040760).

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

1082391240 is a wasteful number, since it uses less digits than its factorization.

1082391240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67859 (or 67855 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1082391240 is about 32899.7148923817. The cubic root of 1082391240 is about 1026.7422251881.

The spelling of 1082391240 in words is "one billion, eighty-two million, three hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 19 20 21 24 28 30 35 38 40 42 56 57 60 70 76 84 95 105 114 120 133 140 152 168 190 210 228 266 280 285 380 399 420 456 532 570 665 760 798 840 1064 1140 1330 1596 1995 2280 2660 3192 3990 5320 7980 15960 67819 135638 203457 271276 339095 406914 474733 542552 678190 813828 949466 1017285 1288561 1356380 1424199 1627656 1898932 2034570 2373665 2577122 2712760 2848398 3797864 3865683 4069140 4747330 5154244 5696796 6442805 7120995 7731366 8138280 9019927 9494660 10308488 11393592 12885610 14241990 15462732 18039854 18989320 19328415 25771220 27059781 28483980 30925464 36079708 38656830 45099635 51542440 54119562 56967960 72159416 77313660 90199270 108239124 135298905 154627320 180398540 216478248 270597810 360797080 541195620 1082391240