Search a number
-
+
116001360 = 24325367439
BaseRepresentation
bin1101110101000…
…00101001010000
322002021110221200
412322200221100
5214144020420
615302151200
72605665246
oct672405120
9262243850
10116001360
115a5305a2
1232a22500
131b056b77
1411598796
15a2b5b90
hex6ea0a50

116001360 has 120 divisors (see below), whose sum is σ = 391522560. Its totient is φ = 30779136.

The previous prime is 116001359. The next prime is 116001383. The reversal of 116001360 is 63100611.

116001360 is a `hidden beast` number, since 1 + 1 + 600 + 1 + 3 + 60 = 666.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264021 + ... + 264459.

It is an arithmetic number, because the mean of its divisors is an integer number (3262688).

Almost surely, 2116001360 is an apocalyptic number.

116001360 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 116001360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195761280).

116001360 is an abundant number, since it is smaller than the sum of its proper divisors (275521200).

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

116001360 is a wasteful number, since it uses less digits than its factorization.

116001360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 116001360 is about 10770.3927504989. The cubic root of 116001360 is about 487.7018020535.

Adding to 116001360 its reverse (63100611), we get a palindrome (179101971).

The spelling of 116001360 in words is "one hundred sixteen million, one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 367 439 720 734 878 1101 1317 1468 1756 1835 2195 2202 2634 2936 3303 3512 3670 3951 4390 4404 5268 5505 5872 6585 6606 7024 7340 7902 8780 8808 10536 11010 13170 13212 14680 15804 16515 17560 17616 19755 21072 22020 26340 26424 29360 31608 33030 35120 39510 44040 52680 52848 63216 66060 79020 88080 105360 132120 158040 161113 264240 316080 322226 483339 644452 805565 966678 1288904 1450017 1611130 1933356 2416695 2577808 2900034 3222260 3866712 4833390 5800068 6444520 7250085 7733424 9666780 11600136 12889040 14500170 19333560 23200272 29000340 38667120 58000680 116001360