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116122320 = 24325161281
BaseRepresentation
bin1101110101111…
…10001011010000
322002111121212200
412322332023100
5214211403240
615304523200
72610011016
oct672761320
9262447780
10116122320
115a603466
1232a80500
131b099c42
14115ca8b6
15a2db930
hex6ebe2d0

116122320 has 60 divisors (see below), whose sum is σ = 389979876. Its totient is φ = 30965760.

The previous prime is 116122313. The next prime is 116122327. The reversal of 116122320 is 23221611.

116122320 is a `hidden beast` number, since 11 + 612 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (116122313) and next prime (116122327).

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 74442384 = 6456^2 + 8628^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116122293 and 116122302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116122327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79921 + ... + 81360.

Almost surely, 2116122320 is an apocalyptic number.

116122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116122320 is an abundant number, since it is smaller than the sum of its proper divisors (273857556).

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

116122320 is a wasteful number, since it uses less digits than its factorization.

116122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161300 (or 161291 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116122320 is about 10776.0066815124. The cubic root of 116122320 is about 487.8712595988.

Subtracting from 116122320 its product of nonzero digits (144), we obtain a square (116122176 = 107762).

Adding to 116122320 its reverse (23221611), we get a palindrome (139343931).

The spelling of 116122320 in words is "one hundred sixteen million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 161281 322562 483843 645124 806405 967686 1290248 1451529 1612810 1935372 2419215 2580496 2903058 3225620 3870744 4838430 5806116 6451240 7257645 7741488 9676860 11612232 12902480 14515290 19353720 23224464 29030580 38707440 58061160 116122320