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80008020 = 22335229647
BaseRepresentation
bin1001100010011…
…01001101010100
312120112211101000
410301031031110
5130440224040
611534503300
71661025351
oct461151524
9176484330
1080008020
1141187234
1222964b30
1313763c31
14a8a9628
157056130
hex4c4d354

80008020 has 96 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 21209472.

The previous prime is 80008009. The next prime is 80008051. The reversal of 80008020 is 2080008.

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

It is a junction number, because it is equal to n+sod(n) for n = 80007984 and 80008002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123337 + ... + 123983.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 280008020 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 80008020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

80008020 is an abundant number, since it is smaller than the sum of its proper divisors (170379180).

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

80008020 is a wasteful number, since it uses less digits than its factorization.

80008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

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

The square root of 80008020 is about 8944.7202303929. The cubic root of 80008020 is about 430.9013363304.

Adding to 80008020 its reverse (2080008), we get a palindrome (82088028).

The spelling of 80008020 in words is "eighty million, eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 229 270 458 540 647 687 916 1145 1294 1374 1941 2061 2290 2588 2748 3235 3435 3882 4122 4580 5823 6183 6470 6870 7764 8244 9705 10305 11646 12366 12940 13740 17469 19410 20610 23292 24732 29115 30915 34938 38820 41220 58230 61830 69876 87345 116460 123660 148163 174690 296326 349380 444489 592652 740815 888978 1333467 1481630 1777956 2222445 2666934 2963260 4000401 4444890 5333868 6667335 8000802 8889780 13334670 16001604 20002005 26669340 40004010 80008020