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182930080 = 2557116103
BaseRepresentation
bin10101110011101…
…00101010100000
3110202012210220011
422321310222200
5333312230310
630052454304
74350610564
oct1271645240
9422183804
10182930080
1194294093
125131a394
132bb8b768
141a41b6a4
15110d678a
hexae74aa0

182930080 has 48 divisors (see below), whose sum is σ = 438286464. Its totient is φ = 72136960.

The previous prime is 182930071. The next prime is 182930113. The reversal of 182930080 is 80039281.

182930080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3309 + ... + 19411.

It is an arithmetic number, because the mean of its divisors is an integer number (9130968).

Almost surely, 2182930080 is an apocalyptic number.

182930080 is a gapful number since it is divisible by the number (10) 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 182930080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219143232).

182930080 is an abundant number, since it is smaller than the sum of its proper divisors (255356384).

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

182930080 is a wasteful number, since it uses less digits than its factorization.

182930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16189 (or 16181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 182930080 is about 13525.1646940065. The cubic root of 182930080 is about 567.6688210243.

The spelling of 182930080 in words is "one hundred eighty-two million, nine hundred thirty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 16103 32206 64412 80515 128824 161030 257648 322060 515296 644120 1143313 1288240 2286626 2576480 4573252 5716565 9146504 11433130 18293008 22866260 36586016 45732520 91465040 182930080