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200116080 = 24325416779
BaseRepresentation
bin10111110110110…
…00011101110000
3111221112221122200
423323120131300
5402212203310
631505103200
74646646543
oct1373303560
9457487580
10200116080
11a2a6219a
1257027b00
13325c80a8
141c81285a
151287d9c0
hexbed8770

200116080 has 120 divisors (see below), whose sum is σ = 688549680. Its totient is φ = 52055040.

The previous prime is 200116079. The next prime is 200116087. The reversal of 200116080 is 80611002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200116087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26131 + ... + 32909.

It is an arithmetic number, because the mean of its divisors is an integer number (5737914).

Almost surely, 2200116080 is an apocalyptic number.

200116080 is a gapful number since it is divisible by the number (20) 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 200116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344274840).

200116080 is an abundant number, since it is smaller than the sum of its proper divisors (488433600).

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

200116080 is a wasteful number, since it uses less digits than its factorization.

200116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6839 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 200116080 is about 14146.2390761644. The cubic root of 200116080 is about 584.9166657538.

Adding to 200116080 its reverse (80611002), we get a palindrome (280727082).

It can be divided in two parts, 2001 and 16080, that added together give a palindrome (18081).

The spelling of 200116080 in words is "two hundred million, one hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 6779 7380 9840 13558 14760 20337 27116 29520 33895 40674 54232 61011 67790 81348 101685 108464 122022 135580 162696 203370 244044 271160 277939 305055 325392 406740 488088 542320 555878 610110 813480 833817 976176 1111756 1220220 1389695 1626960 1667634 2223512 2440440 2501451 2779390 3335268 4169085 4447024 4880880 5002902 5558780 6670536 8338170 10005804 11117560 12507255 13341072 16676340 20011608 22235120 25014510 33352680 40023216 50029020 66705360 100058040 200116080