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80830080 = 2732514033
BaseRepresentation
bin1001101000101…
…01111010000000
312122002121000200
410310111322000
5131143030310
612004245200
72001021132
oct464257200
9178077020
1080830080
1141698921
12230a0800
1313991166
14aa41052
1571699c0
hex4d15e80

80830080 has 96 divisors (see below), whose sum is σ = 279136260. Its totient is φ = 21553152.

The previous prime is 80830033. The next prime is 80830081. The reversal of 80830080 is 8003808.

It can be written as a sum of positive squares in 2 ways, for example, as 74235456 + 6594624 = 8616^2 + 2568^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (80830081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 12776.

Almost surely, 280830080 is an apocalyptic number.

80830080 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 80830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139568130).

80830080 is an abundant number, since it is smaller than the sum of its proper divisors (198306180).

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

80830080 is a wasteful number, since it uses less digits than its factorization.

80830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 80830080 is about 8990.5550440448. Note that the first 3 decimals coincide. The cubic root of 80830080 is about 432.3721073732.

Adding to 80830080 its reverse (8003808), we get a palindrome (88833888).

The spelling of 80830080 in words is "eighty million, eight hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 14033 28066 42099 56132 70165 84198 112264 126297 140330 168396 210495 224528 252594 280660 336792 420990 449056 505188 561320 631485 673584 841980 898112 1010376 1122640 1262970 1347168 1683960 1796224 2020752 2245280 2525940 2694336 3367920 4041504 4490560 5051880 5388672 6735840 8083008 8981120 10103760 13471680 16166016 20207520 26943360 40415040 80830080