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1982385840 = 243559139999
BaseRepresentation
bin111011000101000…
…1100111010110000
312010011012122010210
41312022030322300
513024442321330
6524413224120
7100061000361
oct16612147260
95104178123
101982385840
11928006906
12473a92040
1325791ab96
1414b3d1b68
15b90838b0
hex7628ceb0

1982385840 has 80 divisors (see below), whose sum is σ = 6249600000. Its totient is φ = 519672576.

The previous prime is 1982385803. The next prime is 1982385859. The reversal of 1982385840 is 485832891.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1982385840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55840 + ... + 84159.

It is an arithmetic number, because the mean of its divisors is an integer number (78120000).

Almost surely, 21982385840 is an apocalyptic number.

1982385840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982385840 is an abundant number, since it is smaller than the sum of its proper divisors (4267214160).

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

1982385840 is a wasteful number, since it uses less digits than its factorization.

1982385840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140074 (or 140068 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 1982385840 is about 44523.9917347940. The cubic root of 1982385840 is about 1256.2113962544.

The spelling of 1982385840 in words is "one billion, nine hundred eighty-two million, three hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 139999 279998 419997 559996 699995 839994 1119992 1399990 1679988 2099985 2239984 2799980 3359976 4199970 5599960 6719952 8259941 8399940 11199920 16519882 16799880 24779823 33039764 33599760 41299705 49559646 66079528 82599410 99119292 123899115 132159056 165198820 198238584 247798230 330397640 396477168 495596460 660795280 991192920 1982385840