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80820480 = 2835131619
BaseRepresentation
bin1001101000100…
…11100100000000
312122002002212010
410310103210000
5131142223410
612004132520
72000651136
oct464234400
9178062763
1080820480
1141691694
1223097140
1313989990
14aa3b756
157166c20
hex4d13900

80820480 has 144 divisors (see below), whose sum is σ = 278147520. Its totient is φ = 19881984.

The previous prime is 80820463. The next prime is 80820511. The reversal of 80820480 is 8402808.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49111 + ... + 50729.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 280820480 is an apocalyptic number.

80820480 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 80820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139073760).

80820480 is an abundant number, since it is smaller than the sum of its proper divisors (197327040).

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

80820480 is a wasteful number, since it uses less digits than its factorization.

80820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 80820480 is about 8990.0211345692. The cubic root of 80820480 is about 432.3549894201.

The spelling of 80820480 in words is "eighty million, eight hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1619 1664 1920 2080 2496 3120 3238 3328 3840 4160 4857 4992 6240 6476 8095 8320 9714 9984 12480 12952 16190 16640 19428 21047 24285 24960 25904 32380 38856 42094 48570 49920 51808 63141 64760 77712 84188 97140 103616 105235 126282 129520 155424 168376 194280 207232 210470 252564 259040 310848 315705 336752 388560 414464 420940 505128 518080 621696 631410 673504 777120 841880 1010256 1036160 1243392 1262820 1347008 1554240 1683760 2020512 2072320 2525640 2694016 3108480 3367520 4041024 5051280 5388032 6216960 6735040 8082048 10102560 13470080 16164096 20205120 26940160 40410240 80820480