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116730720 = 253459007
BaseRepresentation
bin1101111010100…
…10101101100000
322010122112110000
412331102231200
5214340340340
615325540000
72615123541
oct675225540
9263575400
10116730720
115a989577
1233114600
131b250b42
14117084c8
15a3abd30
hex6f52b60

116730720 has 120 divisors (see below), whose sum is σ = 412007904. Its totient is φ = 31124736.

The previous prime is 116730643. The next prime is 116730743. The reversal of 116730720 is 27037611.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8457 + ... + 17463.

Almost surely, 2116730720 is an apocalyptic number.

116730720 is a gapful number since it is divisible by the number (10) 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 116730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206003952).

116730720 is an abundant number, since it is smaller than the sum of its proper divisors (295277184).

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

116730720 is an equidigital number, since it uses as much as digits as its factorization.

116730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9034 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 116730720 is about 10804.1991836508. The cubic root of 116730720 is about 488.7218109823.

The spelling of 116730720 in words is "one hundred sixteen million, seven hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 9007 12960 18014 27021 36028 45035 54042 72056 81063 90070 108084 135105 144112 162126 180140 216168 243189 270210 288224 324252 360280 405315 432336 486378 540420 648504 720560 729567 810630 864672 972756 1080840 1215945 1297008 1441120 1459134 1621260 1945512 2161680 2431890 2594016 2918268 3242520 3647835 3891024 4323360 4863780 5836536 6485040 7295670 7782048 9727560 11673072 12970080 14591340 19455120 23346144 29182680 38910240 58365360 116730720