Search a number
-
+
115061664 = 2531677177
BaseRepresentation
bin1101101101110…
…11001110100000
322000111201221010
412312323032200
5213423433124
615230100520
72565002514
oct666731640
9260451833
10115061664
1159a49593
123264a740
131aab8233
14113d2144
15a17c529
hex6dbb3a0

115061664 has 48 divisors (see below), whose sum is σ = 303887808. Its totient is φ = 38118912.

The previous prime is 115061659. The next prime is 115061671. The reversal of 115061664 is 466160511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12444 + ... + 19620.

It is an arithmetic number, because the mean of its divisors is an integer number (6330996).

Almost surely, 2115061664 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 115061664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151943904).

115061664 is an abundant number, since it is smaller than the sum of its proper divisors (188826144).

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

115061664 is a wasteful number, since it uses less digits than its factorization.

115061664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357 (or 7349 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 115061664 is about 10726.6800082784. The cubic root of 115061664 is about 486.3813160096.

The spelling of 115061664 in words is "one hundred fifteen million, sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 7177 8016 14354 16032 21531 28708 43062 57416 86124 114832 172248 229664 344496 688992 1198559 2397118 3595677 4794236 7191354 9588472 14382708 19176944 28765416 38353888 57530832 115061664