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116662824 = 23322959947
BaseRepresentation
bin1101111010000…
…10001000101000
322010112002022100
412331002020220
5214331202244
615324253400
72614421565
oct675021050
9263462270
10116662824
115a942563
12330a1260
131b228c75
14116cb86c
15a396b69
hex6f42228

116662824 has 96 divisors (see below), whose sum is σ = 332748000. Its totient is φ = 36871296.

The previous prime is 116662811. The next prime is 116662829. The reversal of 116662824 is 428266611.

It is a super-2 number, since 2×1166628242 = 27220429007309952, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116662829) 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 23 ways as a sum of consecutive naturals, for example, 122719 + ... + 123665.

It is an arithmetic number, because the mean of its divisors is an integer number (3466125).

Almost surely, 2116662824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116662824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166374000).

116662824 is an abundant number, since it is smaller than the sum of its proper divisors (216085176).

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

116662824 is a wasteful number, since it uses less digits than its factorization.

116662824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

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

The square root of 116662824 is about 10801.0566149799. The cubic root of 116662824 is about 488.6270381821.

The spelling of 116662824 in words is "one hundred sixteen million, six hundred sixty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 59 72 87 116 118 174 177 232 236 261 348 354 472 522 531 696 708 947 1044 1062 1416 1711 1894 2088 2124 2841 3422 3788 4248 5133 5682 6844 7576 8523 10266 11364 13688 15399 17046 20532 22728 27463 30798 34092 41064 54926 55873 61596 68184 82389 109852 111746 123192 164778 167619 219704 223492 247167 329556 335238 446984 494334 502857 659112 670476 988668 1005714 1340952 1620317 1977336 2011428 3240634 4022856 4860951 6481268 9721902 12962536 14582853 19443804 29165706 38887608 58331412 116662824