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96214014 = 233132359101
BaseRepresentation
bin1011011110000…
…01101111111110
320201001011211000
411233001233332
5144112322024
613314111130
72245543221
oct557015776
9221034730
1096214014
114a346016
122827b4a6
1316c19490
14cac75b8
1586a7cc9
hex5bc1bfe

96214014 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 27561600.

The previous prime is 96213977. The next prime is 96214031. The reversal of 96214014 is 41041269.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952564 + ... + 952664.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 296214014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96214014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

96214014 is an abundant number, since it is smaller than the sum of its proper divisors (150544386).

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

96214014 is a wasteful number, since it uses less digits than its factorization.

96214014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 96214014 is about 9808.8742473334. The cubic root of 96214014 is about 458.2257012571.

The spelling of 96214014 in words is "ninety-six million, two hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 59 69 78 101 117 118 138 177 202 207 234 299 303 351 354 414 531 598 606 621 702 767 897 909 1062 1242 1313 1357 1534 1593 1794 1818 2301 2323 2626 2691 2714 2727 3186 3939 4071 4602 4646 5382 5454 5959 6903 6969 7878 8073 8142 11817 11918 12213 13806 13938 16146 17641 17877 20709 20907 23634 24426 30199 35282 35451 35754 36639 41418 41814 52923 53631 60398 62721 70902 73278 77467 90597 105846 107262 125442 137057 154934 158769 160893 181194 232401 271791 274114 317538 321786 411171 464802 476307 543582 697203 815373 822342 952614 1233513 1394406 1630746 1781741 2091609 2467026 3563482 3700539 4183218 5345223 7401078 10690446 16035669 32071338 48107007 96214014