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80006316 = 223134311927
BaseRepresentation
bin1001100010011…
…00110010101100
312120112202000220
410301030302230
5130440200231
611534451340
71661020365
oct461146254
9176482026
1080006316
1141185a25
1222963b50
1313763220
14a8a8b6c
157055896
hex4c4ccac

80006316 has 48 divisors (see below), whose sum is σ = 205734144. Its totient is φ = 24042816.

The previous prime is 80006291. The next prime is 80006363. The reversal of 80006316 is 61360008.

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, 745 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (4286128).

Almost surely, 280006316 is an apocalyptic number.

80006316 is a gapful number since it is divisible by the number (86) 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 80006316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102867072).

80006316 is an abundant number, since it is smaller than the sum of its proper divisors (125727828).

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

80006316 is a wasteful number, since it uses less digits than its factorization.

80006316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 80006316 is about 8944.6249781643. The cubic root of 80006316 is about 430.8982772159.

The spelling of 80006316 in words is "eighty million, six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 11927 23854 35781 47708 71562 143124 155051 310102 465153 512861 620204 930306 1025722 1538583 1860612 2051444 3077166 6154332 6667193 13334386 20001579 26668772 40003158 80006316