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116020520 = 235711139271
BaseRepresentation
bin1101110101001…
…01010100101000
322002022110020022
412322211110220
5214200124040
615302420012
72606105150
oct672452450
9262273208
10116020520
115a543a30
1232a31608
131b0627c5
14115a1760
15a2bb6b5
hex6ea5528

116020520 has 128 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 35769600.

The previous prime is 116020511. The next prime is 116020523. The reversal of 116020520 is 25020611.

It is a super-2 number, since 2×1160205202 = 26921522122140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116020523) by changing a digit.

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, 427985 + ... + 428255.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2116020520 is an apocalyptic number.

116020520 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 116020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

116020520 is an abundant number, since it is smaller than the sum of its proper divisors (212990680).

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

116020520 is a wasteful number, since it uses less digits than its factorization.

116020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 116020520 is about 10771.2821892289. The cubic root of 116020520 is about 487.7286518884.

Subtracting from 116020520 its reverse (25020611), we obtain a palindrome (90999909).

The spelling of 116020520 in words is "one hundred sixteen million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 139 140 154 220 271 278 280 308 385 440 542 556 616 695 770 973 1084 1112 1355 1390 1529 1540 1897 1946 2168 2710 2780 2981 3058 3080 3794 3892 4865 5420 5560 5962 6116 7588 7645 7784 9485 9730 10703 10840 11924 12232 14905 15176 15290 18970 19460 20867 21406 23848 29810 30580 37669 37940 38920 41734 42812 53515 59620 61160 75338 75880 83468 85624 104335 107030 119240 150676 166936 188345 208670 214060 263683 301352 376690 414359 417340 428120 527366 753380 828718 834680 1054732 1318415 1506760 1657436 2071795 2109464 2636830 2900513 3314872 4143590 5273660 5801026 8287180 10547320 11602052 14502565 16574360 23204104 29005130 58010260 116020520