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1082697984 = 28323111511
BaseRepresentation
bin100000010001000…
…1010100100000000
32210110021202102100
41000202022210000
54204132313414
6255233550400
735554531614
oct10042124400
92713252370
101082697984
11506178025
12262715400
131434035c4
14a3b17344
15650b9609
hex4088a900

1082697984 has 108 divisors (see below), whose sum is σ = 3133795392. Its totient is φ = 359500800.

The previous prime is 1082697983. The next prime is 1082698007. The reversal of 1082697984 is 4897962801.

It is a self number, because there is not a number n which added to its sum of digits gives 1082697984.

It is not an unprimeable number, because it can be changed into a prime (1082697983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715789 + ... + 717299.

It is an arithmetic number, because the mean of its divisors is an integer number (29016624).

Almost surely, 21082697984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566897696).

1082697984 is an abundant number, since it is smaller than the sum of its proper divisors (2051097408).

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

1082697984 is a wasteful number, since it uses less digits than its factorization.

1082697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1082697984 is about 32904.3763654624. The cubic root of 1082697984 is about 1026.8392071477.

It can be divided in two parts, 1082697 and 984, that added together give a square (1083681 = 10412).

The spelling of 1082697984 in words is "one billion, eighty-two million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 311 384 576 622 768 933 1152 1244 1511 1866 2304 2488 2799 3022 3732 4533 4976 5598 6044 7464 9066 9952 11196 12088 13599 14928 18132 19904 22392 24176 27198 29856 36264 39808 44784 48352 54396 59712 72528 79616 89568 96704 108792 119424 145056 179136 193408 217584 238848 290112 358272 386816 435168 469921 580224 716544 870336 939842 1160448 1409763 1740672 1879684 2819526 3481344 3759368 4229289 5639052 7518736 8458578 11278104 15037472 16917156 22556208 30074944 33834312 45112416 60149888 67668624 90224832 120299776 135337248 180449664 270674496 360899328 541348992 1082697984