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96115734 = 2361113461
BaseRepresentation
bin1011011101010…
…01110000010110
320200212012000000
411232221300112
5144101200414
613312032130
72244653541
oct556516026
9220765000
1096115734
114a2891a0
1228232646
1316bb3820
14ca9d858
158688b09
hex5ba9c16

96115734 has 112 divisors (see below), whose sum is σ = 254502864. Its totient is φ = 26827200.

The previous prime is 96115711. The next prime is 96115757. The reversal of 96115734 is 43751169.

96115734 is a `hidden beast` number, since 9 + 611 + 5 + 7 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (96115711) and next prime (96115757).

It is a super-3 number, since 3×961157343 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 208264 + ... + 208724.

It is an arithmetic number, because the mean of its divisors is an integer number (2272347).

Almost surely, 296115734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96115734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127251432).

96115734 is an abundant number, since it is smaller than the sum of its proper divisors (158387130).

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

96115734 is a wasteful number, since it uses less digits than its factorization.

96115734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 96115734 is about 9803.8632181401. The cubic root of 96115734 is about 458.0696264035.

It can be divided in two parts, 961157 and 34, that added together give a triangular number (961191 = T1386).

The spelling of 96115734 in words is "ninety-six million, one hundred fifteen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 243 286 297 351 429 461 486 594 702 729 858 891 922 1053 1287 1383 1458 1782 2106 2574 2673 2766 3159 3861 4149 5071 5346 5993 6318 7722 8019 8298 9477 10142 11583 11986 12447 15213 16038 17979 18954 23166 24894 30426 34749 35958 37341 45639 53937 65923 69498 74682 91278 104247 107874 112023 131846 136917 161811 197769 208494 224046 273834 323622 336069 395538 410751 485433 593307 672138 821502 970866 1186614 1232253 1456299 1779921 2464506 2912598 3559842 3696759 4368897 5339763 7393518 8737794 10679526 16019289 32038578 48057867 96115734