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80002080 = 253456173
BaseRepresentation
bin1001100010010…
…11110000100000
312120112112020000
410301023300200
5130440031310
611534420000
71661002134
oct461136040
9176475200
1080002080
1141182824
1222961600
1313761312
14a8a73c4
1570544c0
hex4c4bc20

80002080 has 120 divisors (see below), whose sum is σ = 282386412. Its totient is φ = 21330432.

The previous prime is 80002033. The next prime is 80002147. The reversal of 80002080 is 8020008.

It can be written as a sum of positive squares in 2 ways, for example, as 66781584 + 13220496 = 8172^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9874 + ... + 16046.

Almost surely, 280002080 is an apocalyptic number.

80002080 is a gapful number since it is divisible by the number (80) 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 80002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141193206).

80002080 is an abundant number, since it is smaller than the sum of its proper divisors (202384332).

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

80002080 is a wasteful number, since it uses less digits than its factorization.

80002080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6200 (or 6183 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 80002080 is about 8944.3881847782. The cubic root of 80002080 is about 430.8906723275.

Adding to 80002080 its reverse (8020008), we get a palindrome (88022088).

The spelling of 80002080 in words is "eighty million, two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6173 6480 12346 12960 18519 24692 30865 37038 49384 55557 61730 74076 92595 98768 111114 123460 148152 166671 185190 197536 222228 246920 277785 296304 333342 370380 444456 493840 500013 555570 592608 666684 740760 833355 888912 987680 1000026 1111140 1333368 1481520 1666710 1777824 2000052 2222280 2500065 2666736 2963040 3333420 4000104 4444560 5000130 5333472 6666840 8000208 8889120 10000260 13333680 16000416 20000520 26667360 40001040 80002080