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80659040 = 2557116547
BaseRepresentation
bin1001100111011…
…00001001100000
312121202220101212
410303230021200
5131122042130
612000445252
71666406360
oct463541140
9177686355
1080659040
1141591370
1223019828
1313931357
14a9d89a0
157133e95
hex4cec260

80659040 has 96 divisors (see below), whose sum is σ = 237613824. Its totient is φ = 25136640.

The previous prime is 80659039. The next prime is 80659069. The reversal of 80659040 is 4095608.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 80658988 and 80659006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9047 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (2475144).

Almost surely, 280659040 is an apocalyptic number.

80659040 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 80659040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118806912).

80659040 is an abundant number, since it is smaller than the sum of its proper divisors (156954784).

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

80659040 is a wasteful number, since it uses less digits than its factorization.

80659040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 80659040 is about 8981.0378019469. The cubic root of 80659040 is about 432.0669192172.

The spelling of 80659040 in words is "eighty million, six hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 6547 12320 13094 26188 32735 45829 52376 65470 72017 91658 104752 130940 144034 183316 209504 229145 261880 288068 360085 366632 458290 504119 523760 576136 720170 733264 916580 1008238 1047520 1152272 1440340 1466528 1833160 2016476 2304544 2520595 2880680 3666320 4032952 5041190 5761360 7332640 8065904 10082380 11522720 16131808 20164760 40329520 80659040