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116512380 = 22325738867
BaseRepresentation
bin1101111000111…
…01011001111100
322010020102221100
412330131121330
5214311344010
615321133100
72613224145
oct674353174
9263212840
10116512380
115a84a526
123302a190
131b1a564a
141168cacc
15a3672c0
hex6f1d67c

116512380 has 72 divisors (see below), whose sum is σ = 358302672. Its totient is φ = 30640896.

The previous prime is 116512367. The next prime is 116512381. The reversal of 116512380 is 83215611.

116512380 is a `hidden beast` number, since 1 + 1 + 651 + 2 + 3 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116512381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8707 + ... + 17573.

It is an arithmetic number, because the mean of its divisors is an integer number (4976426).

Almost surely, 2116512380 is an apocalyptic number.

116512380 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 116512380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179151336).

116512380 is an abundant number, since it is smaller than the sum of its proper divisors (241790292).

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

116512380 is a wasteful number, since it uses less digits than its factorization.

116512380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8955 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116512380 is about 10794.0900496522. The cubic root of 116512380 is about 488.4169094673.

Adding to 116512380 its reverse (83215611), we get a palindrome (199727991).

The spelling of 116512380 in words is "one hundred sixteen million, five hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 8867 13140 17734 26601 35468 44335 53202 79803 88670 106404 133005 159606 177340 266010 319212 399015 532020 647291 798030 1294582 1596060 1941873 2589164 3236455 3883746 5825619 6472910 7767492 9709365 11651238 12945820 19418730 23302476 29128095 38837460 58256190 116512380