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80066640 = 24351492239
BaseRepresentation
bin1001100010110…
…11100001010000
312120122210210010
410301123201100
5130444113030
611540034520
71661361303
oct461334120
9176583703
1080066640
1141217285
1222992a40
1313784814
14a8c2b3a
1570686b0
hex4c5b850

80066640 has 80 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 21198336.

The previous prime is 80066621. The next prime is 80066653. The reversal of 80066640 is 4666008.

It is a happy number.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 80066598 and 80066607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 34641 + ... + 36879.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 280066640 is an apocalyptic number.

80066640 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 80066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

80066640 is an abundant number, since it is smaller than the sum of its proper divisors (169917360).

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

80066640 is a wasteful number, since it uses less digits than its factorization.

80066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 80066640 is about 8947.9964237811. The cubic root of 80066640 is about 431.0065477407.

The spelling of 80066640 in words is "eighty million, sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2239 2384 2980 3576 4470 4478 5960 6717 7152 8940 8956 11195 11920 13434 17880 17912 22390 26868 33585 35760 35824 44780 53736 67170 89560 107472 134340 179120 268680 333611 537360 667222 1000833 1334444 1668055 2001666 2668888 3336110 4003332 5004165 5337776 6672220 8006664 10008330 13344440 16013328 20016660 26688880 40033320 80066640