Search a number
-
+
514005140 = 225112579091
BaseRepresentation
bin11110101000110…
…001100010010100
31022211012011111102
4132220301202110
52023041131030
6123000525232
715510654155
oct3650614224
91284164442
10514005140
11244162740
12124180818
138264996c
144c39d92c
15301d2c45
hex1ea31894

514005140 has 48 divisors (see below), whose sum is σ = 1182250944. Its totient is φ = 186163200.

The previous prime is 514005133. The next prime is 514005161. The reversal of 514005140 is 41500415.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 51995 + ... + 61085.

It is an arithmetic number, because the mean of its divisors is an integer number (24630228).

Almost surely, 2514005140 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 514005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591125472).

514005140 is an abundant number, since it is smaller than the sum of its proper divisors (668245804).

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

514005140 is a wasteful number, since it uses less digits than its factorization.

514005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 514005140 is about 22671.6814550664. The cubic root of 514005140 is about 801.0429833911.

Adding to 514005140 its reverse (41500415), we get a palindrome (555505555).

The spelling of 514005140 in words is "five hundred fourteen million, five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2570 2827 5140 5654 9091 11308 14135 18182 28270 36364 45455 56540 90910 100001 181820 200002 400004 500005 1000010 2000020 2336387 4672774 9345548 11681935 23363870 25700257 46727740 51400514 102801028 128501285 257002570 514005140