Search a number
-
+
115520064 = 2631183659
BaseRepresentation
bin1101110001010…
…11001001000000
322001101000201220
412320223021000
5214033120224
615243555040
72601622122
oct670531100
9261330656
10115520064
115a231a30
123282ba80
131ac18a8a
14114b1212
15a21d279
hex6e2b240

115520064 has 112 divisors (see below), whose sum is σ = 337962240. Its totient is φ = 34531840.

The previous prime is 115520051. The next prime is 115520143. The reversal of 115520064 is 460025511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174967 + ... + 175625.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2115520064 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 115520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168981120).

115520064 is an abundant number, since it is smaller than the sum of its proper divisors (222442176).

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

115520064 is a wasteful number, since it uses less digits than its factorization.

115520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 115520064 is about 10748.0260513268. The cubic root of 115520064 is about 487.0263665492.

Adding to 115520064 its reverse (460025511), we get a palindrome (575545575).

The spelling of 115520064 in words is "one hundred fifteen million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 659 664 704 913 996 1056 1318 1328 1826 1977 1992 2112 2636 2656 2739 3652 3954 3984 5272 5312 5478 7249 7304 7908 7968 10544 10956 14498 14608 15816 15936 21088 21747 21912 28996 29216 31632 42176 43494 43824 54697 57992 58432 63264 86988 87648 109394 115984 126528 164091 173976 175296 218788 231968 328182 347952 437576 463936 601667 656364 695904 875152 1203334 1312728 1391808 1750304 1805001 2406668 2625456 3500608 3610002 4813336 5250912 7220004 9626672 10501824 14440008 19253344 28880016 38506688 57760032 115520064