Search a number
-
+
514234100 = 225239712953
BaseRepresentation
bin11110101001101…
…001011011110100
31022211121210120102
4132221221123310
52023120442400
6123005453232
715512626532
oct3651513364
91284553512
10514234100
112442a9766
12124271218
13826c9c43
144c41d152
153022a9d5
hex1ea696f4

514234100 has 36 divisors (see below), whose sum is σ = 1118785164. Its totient is φ = 205159680.

The previous prime is 514234027. The next prime is 514234117. The reversal of 514234100 is 1432415.

It can be written as a sum of positive squares in 6 ways, for example, as 42562576 + 471671524 = 6524^2 + 21718^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33224 + ... + 46176.

Almost surely, 2514234100 is an apocalyptic number.

514234100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514234100 is an abundant number, since it is smaller than the sum of its proper divisors (604551064).

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

514234100 is a wasteful number, since it uses less digits than its factorization.

514234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13364 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 514234100 is about 22676.7303639656. The cubic root of 514234100 is about 801.1619054028.

Adding to 514234100 its reverse (1432415), we get a palindrome (515666515).

The spelling of 514234100 in words is "five hundred fourteen million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 397 794 1588 1985 3970 7940 9925 12953 19850 25906 39700 51812 64765 129530 259060 323825 647650 1295300 5142341 10284682 20569364 25711705 51423410 102846820 128558525 257117050 514234100