Search a number
-
+
514087112 = 237113832179
BaseRepresentation
bin11110101001000…
…101100011001000
31022211100022221102
4132221011203020
52023101241422
6123002400532
715511445150
oct3651054310
91284308842
10514087112
11244209290
12124200148
1382678076
144c3c1760
15301ec192
hex1ea458c8

514087112 has 64 divisors (see below), whose sum is σ = 1205452800. Its totient is φ = 199679040.

The previous prime is 514087109. The next prime is 514087129. The reversal of 514087112 is 211780415.

It is an unprimeable number.

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, 234839 + ... + 237017.

It is an arithmetic number, because the mean of its divisors is an integer number (18835200).

Almost surely, 2514087112 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 514087112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602726400).

514087112 is an abundant number, since it is smaller than the sum of its proper divisors (691365688).

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

514087112 is a wasteful number, since it uses less digits than its factorization.

514087112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 514087112 is about 22673.4891889184. The cubic root of 514087112 is about 801.0855637728.

It can be divided in two parts, 514087 and 112, that multiplied together give a square (57577744 = 75882).

The spelling of 514087112 in words is "five hundred fourteen million, eighty-seven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 383 616 766 1532 2179 2681 3064 4213 4358 5362 8426 8716 10724 15253 16852 17432 21448 23969 29491 30506 33704 47938 58982 61012 95876 117964 122024 167783 191752 235928 335566 671132 834557 1342264 1669114 3338228 5841899 6676456 9180127 11683798 18360254 23367596 36720508 46735192 64260889 73441016 128521778 257043556 514087112