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114374568 = 233711591049
BaseRepresentation
bin1101101000100…
…11011110101000
321222012211102010
412310103132220
5213234441233
615203235520
72556111360
oct664233650
9258184363
10114374568
115961a340
1232378ba0
131a907579
14112939a0
15a093b63
hex6d137a8

114374568 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 29176320.

The previous prime is 114374563. The next prime is 114374569. The reversal of 114374568 is 865473411.

It is not an unprimeable number, because it can be changed into a prime (114374563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108508 + ... + 109556.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2114374568 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 114374568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

114374568 is an abundant number, since it is smaller than the sum of its proper divisors (248505432).

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

114374568 is a wasteful number, since it uses less digits than its factorization.

114374568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1131 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 114374568 is about 10694.6046210227. The cubic root of 114374568 is about 485.4112330345.

The spelling of 114374568 in words is "one hundred fourteen million, three hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 59 66 77 84 88 118 132 154 168 177 231 236 264 308 354 413 462 472 616 649 708 826 924 1049 1239 1298 1416 1652 1848 1947 2098 2478 2596 3147 3304 3894 4196 4543 4956 5192 6294 7343 7788 8392 9086 9912 11539 12588 13629 14686 15576 18172 22029 23078 25176 27258 29372 34617 36344 44058 46156 54516 58744 61891 69234 80773 88116 92312 109032 123782 138468 161546 176232 185673 242319 247564 276936 323092 371346 433237 484638 495128 646184 680801 742692 866474 969276 1299711 1361602 1485384 1732948 1938552 2042403 2599422 2723204 3465896 4084806 4765607 5198844 5446408 8169612 9531214 10397688 14296821 16339224 19062428 28593642 38124856 57187284 114374568