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80768180 = 22523712473
BaseRepresentation
bin1001101000001…
…10110010110100
312121222110010002
410310012302310
5131134040210
612003050432
72000342513
oct464066264
9177873102
1080768180
1141656369
1223070a18
131396bc2c
14aa2667a
1571564a5
hex4d06cb4

80768180 has 48 divisors (see below), whose sum is σ = 179553024. Its totient is φ = 30455040.

The previous prime is 80768167. The next prime is 80768243. The reversal of 80768180 is 8186708.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 31424 + ... + 33896.

It is an arithmetic number, because the mean of its divisors is an integer number (3740688).

Almost surely, 280768180 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 80768180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89776512).

80768180 is an abundant number, since it is smaller than the sum of its proper divisors (98784844).

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

80768180 is a wasteful number, since it uses less digits than its factorization.

80768180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 80768180 is about 8987.1118831358. Note that the first 3 decimals coincide. The cubic root of 80768180 is about 432.2617084215.

The spelling of 80768180 in words is "eighty million, seven hundred sixty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 2473 3266 4946 6532 8165 9892 12365 16330 24730 32660 49460 56879 113758 175583 227516 284395 351166 568790 702332 877915 1137580 1755830 3511660 4038409 8076818 16153636 20192045 40384090 80768180