Search a number
-
+
115729664 = 281672707
BaseRepresentation
bin1101110010111…
…10010100000000
322001202200020212
412321132110000
5214111322124
615252253252
72603454161
oct671362400
9261680225
10115729664
115a365456
1232911228
131ac902bb
1411527768
15a26040e
hex6e5e500

115729664 has 36 divisors (see below), whose sum is σ = 232476384. Its totient is φ = 57497088.

The previous prime is 115729657. The next prime is 115729697. The reversal of 115729664 is 466927511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41399 + ... + 44105.

Almost surely, 2115729664 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 115729664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116238192).

115729664 is an abundant number, since it is smaller than the sum of its proper divisors (116746720).

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

115729664 is an equidigital number, since it uses as much as digits as its factorization.

115729664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2876 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 115729664 is about 10757.7722600918. The cubic root of 115729664 is about 487.3207426847.

The spelling of 115729664 in words is "one hundred fifteen million, seven hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 668 1336 2672 2707 5344 5414 10688 10828 21376 21656 42752 43312 86624 173248 346496 452069 692992 904138 1808276 3616552 7233104 14466208 28932416 57864832 115729664