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80162124 = 22377113441
BaseRepresentation
bin1001100011100…
…10110101001100
312120211122202120
410301302311030
5131010141444
611542052540
71662236550
oct461626514
9176748676
1080162124
1141281a99
1222a1a150
13137b9113
14a909860
157086b19
hex4c72d4c

80162124 has 48 divisors (see below), whose sum is σ = 216792576. Its totient is φ = 22579200.

The previous prime is 80162111. The next prime is 80162161. The reversal of 80162124 is 42126108.

It is a super-2 number, since 2×801621242 = 12851932248382752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 80162094 and 80162103.

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 15 ways as a sum of consecutive naturals, for example, 757 + ... + 12684.

It is an arithmetic number, because the mean of its divisors is an integer number (4516512).

Almost surely, 280162124 is an apocalyptic number.

80162124 is a gapful number since it is divisible by the number (84) 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 80162124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108396288).

80162124 is an abundant number, since it is smaller than the sum of its proper divisors (136630452).

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

80162124 is a wasteful number, since it uses less digits than its factorization.

80162124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13526 (or 13524 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 80162124 is about 8953.3303301062. The cubic root of 80162124 is about 431.1778129120.

The spelling of 80162124 in words is "eighty million, one hundred sixty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 13441 26882 40323 53764 80646 94087 161292 188174 282261 376348 564522 954311 1129044 1908622 2862933 3817244 5725866 6680177 11451732 13360354 20040531 26720708 40081062 80162124