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80580384 = 2532833371
BaseRepresentation
bin1001100110110…
…00111100100000
312121121220111200
410303120330200
5131112033014
611555041200
71665631143
oct463307440
9177556450
1080580384
1141538265
1222ba0200
1313904601
14a9b805a
15711aa09
hex4cd8f20

80580384 has 72 divisors (see below), whose sum is σ = 231980112. Its totient is φ = 26528640.

The previous prime is 80580373. The next prime is 80580421. The reversal of 80580384 is 48308508.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 22219 + ... + 25589.

It is an arithmetic number, because the mean of its divisors is an integer number (3221946).

Almost surely, 280580384 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 80580384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115990056).

80580384 is an abundant number, since it is smaller than the sum of its proper divisors (151399728).

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

80580384 is a wasteful number, since it uses less digits than its factorization.

80580384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 80580384 is about 8976.6577299126. The cubic root of 80580384 is about 431.9264278001.

The spelling of 80580384 in words is "eighty million, five hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3371 3984 5976 6742 7968 10113 11952 13484 20226 23904 26968 30339 40452 53936 60678 80904 107872 121356 161808 242712 279793 323616 485424 559586 839379 970848 1119172 1678758 2238344 2518137 3357516 4476688 5036274 6715032 8953376 10072548 13430064 20145096 26860128 40290192 80580384