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115040664 = 233223127547
BaseRepresentation
bin1101101101101…
…10000110011000
322000110200010100
412312312012120
5213422300124
615225415400
72564554344
oct666660630
9260420110
10115040664
1159a34832
123263a560
131aaab7cb
14113c8624
15a1761c9
hex6db6198

115040664 has 96 divisors (see below), whose sum is σ = 328273920. Its totient is φ = 36324288.

The previous prime is 115040647. The next prime is 115040689. The reversal of 115040664 is 466040511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210039 + ... + 210585.

It is an arithmetic number, because the mean of its divisors is an integer number (3419520).

Almost surely, 2115040664 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 115040664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164136960).

115040664 is an abundant number, since it is smaller than the sum of its proper divisors (213233256).

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

115040664 is a wasteful number, since it uses less digits than its factorization.

115040664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 115040664 is about 10725.7010959657. The cubic root of 115040664 is about 486.3517242564.

It can be divided in two parts, 1150 and 40664, that added together give a palindrome (41814).

The spelling of 115040664 in words is "one hundred fifteen million, forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 127 138 184 207 254 276 381 414 508 547 552 762 828 1016 1094 1143 1524 1641 1656 2188 2286 2921 3048 3282 4376 4572 4923 5842 6564 8763 9144 9846 11684 12581 13128 17526 19692 23368 25162 26289 35052 37743 39384 50324 52578 69469 70104 75486 100648 105156 113229 138938 150972 208407 210312 226458 277876 301944 416814 452916 555752 625221 833628 905832 1250442 1597787 1667256 2500884 3195574 4793361 5001768 6391148 9586722 12782296 14380083 19173444 28760166 38346888 57520332 115040664