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80710000 = 245471153
BaseRepresentation
bin1001100111110…
…00100101110000
312121212111022021
410303320211300
5131130210000
612001521224
72000011060
oct463704560
9177774267
1080710000
1141616688
1223043214
131394b5c7
14aa0d3a0
15714411a
hex4cf8970

80710000 has 100 divisors (see below), whose sum is σ = 223515952. Its totient is φ = 27648000.

The previous prime is 80709997. The next prime is 80710027. The reversal of 80710000 is 1708.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 69424 + ... + 70576.

Almost surely, 280710000 is an apocalyptic number.

80710000 is a gapful number since it is divisible by the number (80) 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 80710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111757976).

80710000 is an abundant number, since it is smaller than the sum of its proper divisors (142805952).

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

80710000 is a wasteful number, since it uses less digits than its factorization.

80710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 80710000 is about 8983.8744425777. The cubic root of 80710000 is about 432.1578926731.

Adding to 80710000 its reverse (1708), we get a palindrome (80711708).

The spelling of 80710000 in words is "eighty million, seven hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1153 1250 1400 1750 2000 2306 2500 2800 3500 4375 4612 5000 5765 7000 8071 8750 9224 10000 11530 14000 16142 17500 18448 23060 28825 32284 35000 40355 46120 57650 64568 70000 80710 92240 115300 129136 144125 161420 201775 230600 288250 322840 403550 461200 576500 645680 720625 807100 1008875 1153000 1441250 1614200 2017750 2306000 2882500 3228400 4035500 5044375 5765000 8071000 10088750 11530000 16142000 20177500 40355000 80710000