Search a number
-
+
115033815 = 325131743269
BaseRepresentation
bin1101101101101…
…00011011010111
322000110022201200
412312310123113
5213422040230
615225323543
72564525361
oct666643327
9260408650
10115033815
1159a2a676
12326365b3
131aaa8660
14113c5d31
15a174160
hex6db46d7

115033815 has 96 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 51867648.

The previous prime is 115033753. The next prime is 115033817. The reversal of 115033815 is 518330511.

It is not a de Polignac number, because 115033815 - 27 = 115033687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115033817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427501 + ... + 427769.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2115033815 is an apocalyptic number.

115033815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

115033815 is an abundant number, since it is smaller than the sum of its proper divisors (118479465).

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

115033815 is a wasteful number, since it uses less digits than its factorization.

115033815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 115033815 is about 10725.3818113856. The cubic root of 115033815 is about 486.3420723387.

The spelling of 115033815 in words is "one hundred fifteen million, thirty-three thousand, eight hundred fifteen".

Divisors: 1 3 5 9 13 15 17 39 43 45 51 65 85 117 129 153 195 215 221 255 269 387 559 585 645 663 731 765 807 1105 1345 1677 1935 1989 2193 2421 2795 3315 3497 3655 4035 4573 5031 6579 8385 9503 9945 10491 10965 11567 12105 13719 17485 22865 25155 28509 31473 32895 34701 41157 47515 52455 57835 59449 68595 85527 104103 142545 150371 157365 173505 178347 196639 205785 297245 427635 451113 520515 535041 589917 751855 891735 983195 1353339 1769751 2255565 2556307 2675205 2949585 6766695 7668921 8848755 12781535 23006763 38344605 115033815