Search a number
-
+
115466280 = 23358311593
BaseRepresentation
bin1101110000111…
…10000000101000
322001021021221220
412320132000220
5214024410110
615242502040
72601306246
oct670360050
9261237856
10115466280
115a1a5586
1232804920
131abca457
1411499796
15a20c370
hex6e1e028

115466280 has 64 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 30417408.

The previous prime is 115466243. The next prime is 115466293. The reversal of 115466280 is 82664511.

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, 4164 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (5478165).

Almost surely, 2115466280 is an apocalyptic number.

115466280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115466280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

115466280 is an abundant number, since it is smaller than the sum of its proper divisors (235136280).

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

115466280 is a wasteful number, since it uses less digits than its factorization.

115466280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 115466280 is about 10745.5237192051. The cubic root of 115466280 is about 486.9507713339.

The spelling of 115466280 in words is "one hundred fifteen million, four hundred sixty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 11593 23186 34779 46372 57965 69558 92744 115930 139116 173895 231860 278232 347790 463720 695580 962219 1391160 1924438 2886657 3848876 4811095 5773314 7697752 9622190 11546628 14433285 19244380 23093256 28866570 38488760 57733140 115466280