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80731680 = 2535792129
BaseRepresentation
bin1001100111111…
…01111000100000
312121220121001020
410303331320200
5131131403210
612002205440
72000131221
oct463757040
9177817036
1080731680
11416309a7
1223053880
1313958433
14aa17248
15714a770
hex4cfde20

80731680 has 96 divisors (see below), whose sum is σ = 257644800. Its totient is φ = 21245952.

The previous prime is 80731639. The next prime is 80731681. The reversal of 80731680 is 8613708.

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

It is a super-3 number, since 3×807316803 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (80731681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36856 + ... + 38984.

It is an arithmetic number, because the mean of its divisors is an integer number (2683800).

Almost surely, 280731680 is an apocalyptic number.

80731680 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 80731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128822400).

80731680 is an abundant number, since it is smaller than the sum of its proper divisors (176913120).

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

80731680 is a wasteful number, since it uses less digits than its factorization.

80731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 80731680 is about 8985.0809679156. The cubic root of 80731680 is about 432.1965840551.

The spelling of 80731680 in words is "eighty million, seven hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2129 2370 2528 3160 3792 4258 4740 6320 6387 7584 8516 9480 10645 12640 12774 17032 18960 21290 25548 31935 34064 37920 42580 51096 63870 68128 85160 102192 127740 168191 170320 204384 255480 336382 340640 504573 510960 672764 840955 1009146 1021920 1345528 1681910 2018292 2522865 2691056 3363820 4036584 5045730 5382112 6727640 8073168 10091460 13455280 16146336 20182920 26910560 40365840 80731680