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80687040 = 2635712007
BaseRepresentation
bin1001100111100…
…10111111000000
312121211022210220
410303302333000
5131123441130
612001223040
71666554120
oct463627700
9177738726
1080687040
1141600405
1223031a80
1313941015
14aa04c80
15713c410
hex4cf2fc0

80687040 has 112 divisors (see below), whose sum is σ = 292803072. Its totient is φ = 18441216.

The previous prime is 80687029. The next prime is 80687069. The reversal of 80687040 is 4078608.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 80686992 and 80687010.

It is a congruent number.

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, 717 + ... + 12723.

Almost surely, 280687040 is an apocalyptic number.

80687040 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 80687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146401536).

80687040 is an abundant number, since it is smaller than the sum of its proper divisors (212116032).

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

80687040 is a wasteful number, since it uses less digits than its factorization.

80687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12034 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 80687040 is about 8982.5965065787. The cubic root of 80687040 is about 432.1169093738.

The spelling of 80687040 in words is "eighty million, six hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 12007 24014 36021 48028 60035 72042 84049 96056 120070 144084 168098 180105 192112 240140 252147 288168 336196 360210 384224 420245 480280 504294 576336 672392 720420 768448 840490 960560 1008588 1152672 1260735 1344784 1440840 1680980 1921120 2017176 2305344 2521470 2689568 2881680 3361960 3842240 4034352 5042940 5379136 5763360 6723920 8068704 10085880 11526720 13447840 16137408 20171760 26895680 40343520 80687040