Search a number
-
+
115500329 = 7174871993
BaseRepresentation
bin1101110001001…
…10010100101001
322001100000122222
412320212110221
5214032002304
615243323425
72601510440
oct670462451
9261300588
10115500329
115a21911a
1232820575
131ac0cab9
14114a7d57
15a2174be
hex6e26529

115500329 has 16 divisors (see below), whose sum is σ = 140122368. Its totient is φ = 92938752.

The previous prime is 115500317. The next prime is 115500331. The reversal of 115500329 is 923005511.

It is a cyclic number.

It is not a de Polignac number, because 115500329 - 24 = 115500313 is a prime.

It is a super-3 number, since 3×1155003293 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 115500298 and 115500307.

It is not an unprimeable number, because it can be changed into a prime (115500349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56957 + ... + 58949.

It is an arithmetic number, because the mean of its divisors is an integer number (8757648).

Almost surely, 2115500329 is an apocalyptic number.

It is an amenable number.

115500329 is a deficient number, since it is larger than the sum of its proper divisors (24622039).

115500329 is a wasteful number, since it uses less digits than its factorization.

115500329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 115500329 is about 10747.1079365567. The cubic root of 115500329 is about 486.9986310708.

The spelling of 115500329 in words is "one hundred fifteen million, five hundred thousand, three hundred twenty-nine".

Divisors: 1 7 17 119 487 1993 3409 8279 13951 33881 57953 237167 970591 6794137 16500047 115500329