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80706720 = 2535277607
BaseRepresentation
bin1001100111101…
…11110010100000
312121212022210210
410303313302200
5131130103340
612001454120
71666665363
oct463676240
9177768723
1080706720
1141614176
1223041340
1313949c73
14aa0c0da
157143180
hex4cf7ca0

80706720 has 96 divisors (see below), whose sum is σ = 255564288. Its totient is φ = 21408768.

The previous prime is 80706719. The next prime is 80706751. The reversal of 80706720 is 2760708.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 132657 + ... + 133263.

It is an arithmetic number, because the mean of its divisors is an integer number (2662128).

Almost surely, 280706720 is an apocalyptic number.

80706720 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 80706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127782144).

80706720 is an abundant number, since it is smaller than the sum of its proper divisors (174857568).

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

80706720 is a wasteful number, since it uses less digits than its factorization.

80706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 80706720 is about 8983.6918914219. The cubic root of 80706720 is about 432.1520383919.

The spelling of 80706720 in words is "eighty million, seven hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 607 831 1108 1214 1385 1662 1821 2216 2428 2770 3035 3324 3642 4155 4432 4856 5540 6070 6648 7284 8310 8864 9105 9712 11080 12140 13296 14568 16620 18210 19424 22160 24280 26592 29136 33240 36420 44320 48560 58272 66480 72840 97120 132960 145680 168139 291360 336278 504417 672556 840695 1008834 1345112 1681390 2017668 2522085 2690224 3362780 4035336 5044170 5380448 6725560 8070672 10088340 13451120 16141344 20176680 26902240 40353360 80706720