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116433288 = 2334473823
BaseRepresentation
bin1101111000010…
…10000110001000
322010002102110000
412330022012020
5214301331123
615315323000
72612444436
oct674120610
9263072400
10116433288
115a7a6064
1232bb0460
131b17864a
141166bd56
15a34db43
hex6f0a188

116433288 has 80 divisors (see below), whose sum is σ = 333146880. Its totient is φ = 37975392.

The previous prime is 116433287. The next prime is 116433299. The reversal of 116433288 is 882334611.

116433288 is a `hidden beast` number, since 1 + 1 + 643 + 3 + 2 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116433283) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28545 + ... + 32367.

It is an arithmetic number, because the mean of its divisors is an integer number (4164336).

Almost surely, 2116433288 is an apocalyptic number.

116433288 is a gapful number since it is divisible by the number (18) 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 116433288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166573440).

116433288 is an abundant number, since it is smaller than the sum of its proper divisors (216713592).

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

116433288 is a wasteful number, since it uses less digits than its factorization.

116433288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3875 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 116433288 is about 10790.4257561970. The cubic root of 116433288 is about 488.3063672385.

Adding to 116433288 its reverse (882334611), we get a palindrome (998767899).

The spelling of 116433288 in words is "one hundred sixteen million, four hundred thirty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 2538 3384 3807 3823 5076 7614 7646 10152 11469 15228 15292 22938 30456 30584 34407 45876 68814 91752 103221 137628 179681 206442 275256 309663 359362 412884 539043 619326 718724 825768 1078086 1238652 1437448 1617129 2156172 2477304 3234258 4312344 4851387 6468516 9702774 12937032 14554161 19405548 29108322 38811096 58216644 116433288