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80590440 = 23357372593
BaseRepresentation
bin1001100110110…
…11011001101000
312121122102022010
410303123121220
5131112343230
611555155520
71666002360
oct463333150
9177572263
1080590440
1141544877
1222ba5ba0
1313909068
14a9bb9a0
15711d9b0
hex4cdb668

80590440 has 128 divisors (see below), whose sum is σ = 283887360. Its totient is φ = 17915904.

The previous prime is 80590429. The next prime is 80590441. The reversal of 80590440 is 4409508.

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 = 80590398 and 80590407.

It is not an unprimeable number, because it can be changed into a prime (80590441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29784 + ... + 32376.

It is an arithmetic number, because the mean of its divisors is an integer number (2217870).

Almost surely, 280590440 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 80590440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141943680).

80590440 is an abundant number, since it is smaller than the sum of its proper divisors (203296920).

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

80590440 is a wasteful number, since it uses less digits than its factorization.

80590440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 80590440 is about 8977.2178318230. The cubic root of 80590440 is about 431.9443944204.

Adding to 80590440 its reverse (4409508), we get a palindrome (84999948).

The spelling of 80590440 in words is "eighty million, five hundred ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 2593 3108 3885 4440 5180 5186 6216 7770 7779 10360 10372 12965 15540 15558 18151 20744 25930 31080 31116 36302 38895 51860 54453 62232 72604 77790 90755 95941 103720 108906 145208 155580 181510 191882 217812 272265 287823 311160 363020 383764 435624 479705 544530 575646 671587 726040 767528 959410 1089060 1151292 1343174 1439115 1918820 2014761 2178120 2302584 2686348 2878230 3357935 3837640 4029522 5372696 5756460 6715870 8059044 10073805 11512920 13431740 16118088 20147610 26863480 40295220 80590440