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80097280 = 21253911
BaseRepresentation
bin1001100011000…
…11000000000000
312120201100210221
410301203000000
5131001103110
611540432424
71661546524
oct461430000
9176640727
1080097280
11412382aa
12229a8714
1313795753
14a8cdd84
1570727da
hex4c63000

80097280 has 52 divisors (see below), whose sum is σ = 192259152. Its totient is φ = 32030720.

The previous prime is 80097263. The next prime is 80097289. The reversal of 80097280 is 8279008.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80097289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18525 + ... + 22435.

Almost surely, 280097280 is an apocalyptic number.

80097280 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 80097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96129576).

80097280 is an abundant number, since it is smaller than the sum of its proper divisors (112161872).

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

80097280 is an equidigital number, since it uses as much as digits as its factorization.

80097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 80097280 is about 8949.7083751371. The cubic root of 80097280 is about 431.0615201004.

The spelling of 80097280 in words is "eighty million, ninety-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 3911 4096 5120 7822 10240 15644 19555 20480 31288 39110 62576 78220 125152 156440 250304 312880 500608 625760 1001216 1251520 2002432 2503040 4004864 5006080 8009728 10012160 16019456 20024320 40048640 80097280