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116058720 = 2535435623
BaseRepresentation
bin1101110101011…
…10101001100000
322002101101122010
412322232221200
5214202334340
615303312520
72606324421
oct672565140
9262341563
10116058720
115a56a6a8
1232a4b740
131b076ccb
14115b1648
15a2c7b80
hex6eaea60

116058720 has 96 divisors (see below), whose sum is σ = 374153472. Its totient is φ = 30223872.

The previous prime is 116058697. The next prime is 116058721. The reversal of 116058720 is 27850611.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116058721) 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, 17829 + ... + 23451.

It is an arithmetic number, because the mean of its divisors is an integer number (3897432).

Almost surely, 2116058720 is an apocalyptic number.

116058720 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 116058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187076736).

116058720 is an abundant number, since it is smaller than the sum of its proper divisors (258094752).

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

116058720 is a wasteful number, since it uses less digits than its factorization.

116058720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 116058720 is about 10773.0552769398. The cubic root of 116058720 is about 487.7821745759.

The spelling of 116058720 in words is "one hundred sixteen million, fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 5623 6880 10320 11246 16869 20640 22492 28115 33738 44984 56230 67476 84345 89968 112460 134952 168690 179936 224920 241789 269904 337380 449840 483578 539808 674760 725367 899680 967156 1208945 1349520 1450734 1934312 2417890 2699040 2901468 3626835 3868624 4835780 5802936 7253670 7737248 9671560 11605872 14507340 19343120 23211744 29014680 38686240 58029360 116058720