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80116560 = 24335291279
BaseRepresentation
bin1001100011001…
…11101101010000
312120202100021000
410301213231100
5131002212220
611541102000
71661656656
oct461475520
9176670230
1080116560
1141250837
12229b7900
13137a1464
14a8d6dd6
157078390
hex4c67b50

80116560 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 20611584.

The previous prime is 80116511. The next prime is 80116577. The reversal of 80116560 is 6561108.

80116560 is a `hidden beast` number, since 8 + 0 + 1 + 1 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 62001 + ... + 63279.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 280116560 is an apocalyptic number.

80116560 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 80116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

80116560 is an abundant number, since it is smaller than the sum of its proper divisors (205579440).

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

80116560 is a wasteful number, since it uses less digits than its factorization.

80116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 80116560 is about 8950.7854403957. The cubic root of 80116560 is about 431.0961038772.

Adding to 80116560 its reverse (6561108), we get a palindrome (86677668).

The spelling of 80116560 in words is "eighty million, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1279 1305 1392 1566 1740 2088 2160 2320 2558 2610 3132 3480 3837 3915 4176 5116 5220 6264 6395 6960 7674 7830 10232 10440 11511 12528 12790 15348 15660 19185 20464 20880 23022 25580 30696 31320 34533 37091 38370 46044 51160 57555 61392 62640 69066 74182 76740 92088 102320 111273 115110 138132 148364 153480 172665 184176 185455 222546 230220 276264 296728 306960 333819 345330 370910 445092 460440 552528 556365 593456 667638 690660 741820 890184 920880 1001457 1112730 1335276 1381320 1483640 1669095 1780368 2002914 2225460 2670552 2762640 2967280 3338190 4005828 4450920 5007285 5341104 6676380 8011656 8901840 10014570 13352760 16023312 20029140 26705520 40058280 80116560