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116311424 = 273741599
BaseRepresentation
bin1101110111011…
…00010110000000
322002212020021112
412323230112000
5214233431144
615312542452
72611426235
oct673542600
9262766245
10116311424
115a722549
1232b51a28
131b135038
141163978c
15a32799e
hex6eec580

116311424 has 64 divisors (see below), whose sum is σ = 244188000. Its totient is φ = 55111680.

The previous prime is 116311381. The next prime is 116311441. The reversal of 116311424 is 424113611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a cake number, because a cake can be divided into 116311424 parts by 887 planar cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 116311424.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 193877 + ... + 194475.

Almost surely, 2116311424 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 116311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122094000).

116311424 is an abundant number, since it is smaller than the sum of its proper divisors (127876576).

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

116311424 is an equidigital number, since it uses as much as digits as its factorization.

116311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 679 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 116311424 is about 10784.7774200491. Note that the first 3 decimals coincide. The cubic root of 116311424 is about 488.1359470746.

The spelling of 116311424 in words is "one hundred sixteen million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 296 328 592 599 656 1184 1198 1312 1517 2368 2396 2624 3034 4736 4792 5248 6068 9584 12136 19168 22163 24272 24559 38336 44326 48544 49118 76672 88652 97088 98236 177304 194176 196472 354608 392944 709216 785888 908683 1418432 1571776 1817366 2836864 3143552 3634732 7269464 14538928 29077856 58155712 116311424