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514145280 = 210351117179
BaseRepresentation
bin11110101001010…
…011110000000000
31022211110021201210
4132221103300000
52023110122110
6123003530120
715512106555
oct3651236000
91284407653
10514145280
11244248a60
12124229940
138269869c
144c3d8a2c
153020e520
hex1ea53c00

514145280 has 352 divisors, whose sum is σ = 1910096640. Its totient is φ = 116654080.

The previous prime is 514145237. The next prime is 514145287. The reversal of 514145280 is 82541415.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514145287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872231 + ... + 2872409.

Almost surely, 2514145280 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 514145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955048320).

514145280 is an abundant number, since it is smaller than the sum of its proper divisors (1395951360).

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

514145280 is a wasteful number, since it uses less digits than its factorization.

514145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 514145280 is about 22674.7718841888. The cubic root of 514145280 is about 801.1157764136.

Adding to 514145280 its reverse (82541415), we get a palindrome (596686695).

The spelling of 514145280 in words is "five hundred fourteen million, one hundred forty-five thousand, two hundred eighty".