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80975520 = 25325531061
BaseRepresentation
bin1001101001110…
…01011010100000
312122100222112100
410310321122200
5131212204040
612011330400
72002165143
oct464713240
9178328470
1080975520
114178811a
1223150a00
1313a12412
14aa7c05a
157197b30
hex4d396a0

80975520 has 144 divisors (see below), whose sum is σ = 281808072. Its totient is φ = 21166080.

The previous prime is 80975513. The next prime is 80975551. The reversal of 80975520 is 2557908.

It can be written as a sum of positive squares in 4 ways, for example, as 75272976 + 5702544 = 8676^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75790 + ... + 76850.

Almost surely, 280975520 is an apocalyptic number.

80975520 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 80975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140904036).

80975520 is an abundant number, since it is smaller than the sum of its proper divisors (200832552).

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

80975520 is a wasteful number, since it uses less digits than its factorization.

80975520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 80975520 is about 8998.6398972289. The cubic root of 80975520 is about 432.6312787134.

The spelling of 80975520 in words is "eighty million, nine hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1061 1272 1440 1590 1696 1908 2120 2122 2385 2544 3180 3183 3816 4240 4244 4770 5088 5305 6360 6366 7632 8480 8488 9540 9549 10610 12720 12732 15264 15915 16976 19080 19098 21220 25440 25464 31830 33952 38160 38196 42440 47745 50928 56233 63660 76320 76392 84880 95490 101856 112466 127320 152784 168699 169760 190980 224932 254640 281165 305568 337398 381960 449864 506097 509280 562330 674796 763920 843495 899728 1012194 1124660 1349592 1527840 1686990 1799456 2024388 2249320 2530485 2699184 3373980 4048776 4498640 5060970 5398368 6747960 8097552 8997280 10121940 13495920 16195104 20243880 26991840 40487760 80975520