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2082046080 = 27351576907
BaseRepresentation
bin111110000011001…
…1000000010000000
312101002201220021210
41330012120002000
513231000433310
6542333250120
7102411046122
oct17406300200
95332656253
102082046080
11979296044
124a1333940
13272472b3a
1415a735212
15c2bbc820
hex7c198080

2082046080 has 128 divisors (see below), whose sum is σ = 6679759680. Its totient is φ = 551596032.

The previous prime is 2082046079. The next prime is 2082046093. The reversal of 2082046080 is 806402802.

It is a happy number.

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

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

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, 297987 + ... + 304893.

Almost surely, 22082046080 is an apocalyptic number.

2082046080 is a gapful number since it is divisible by the number (20) 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 2082046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339879840).

2082046080 is an abundant number, since it is smaller than the sum of its proper divisors (4597713600).

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

2082046080 is a wasteful number, since it uses less digits than its factorization.

2082046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2082046080 is about 45629.4431261220. The cubic root of 2082046080 is about 1276.9192839606.

Adding to 2082046080 its reverse (806402802), we get a palindrome (2888448882).

The spelling of 2082046080 in words is "two billion, eighty-two million, forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 157 160 192 240 314 320 384 471 480 628 640 785 942 960 1256 1570 1884 1920 2355 2512 3140 3768 4710 5024 6280 6907 7536 9420 10048 12560 13814 15072 18840 20096 20721 25120 27628 30144 34535 37680 41442 50240 55256 60288 69070 75360 82884 100480 103605 110512 138140 150720 165768 207210 221024 276280 301440 331536 414420 442048 552560 663072 828840 884096 1084399 1105120 1326144 1657680 2168798 2210240 2652288 3253197 3315360 4337596 4420480 5421995 6506394 6630720 8675192 10843990 13012788 13261440 16265985 17350384 21687980 26025576 32531970 34700768 43375960 52051152 65063940 69401536 86751920 104102304 130127880 138803072 173503840 208204608 260255760 347007680 416409216 520511520 694015360 1041023040 2082046080