Search a number
-
+
510394104 = 2332112328019
BaseRepresentation
bin11110011010111…
…111111011111000
31022120101201002100
4132122333323320
52021130102404
6122351303400
715435164313
oct3632777370
91276351070
10510394104
11242116710
12122b1ab60
138198415c
144badd97a
152ec1cd39
hex1e6bfef8

510394104 has 96 divisors (see below), whose sum is σ = 1573603200. Its totient is φ = 147935040.

The previous prime is 510394099. The next prime is 510394109. The reversal of 510394104 is 401493015.

It is an interprime number because it is at equal distance from previous prime (510394099) and next prime (510394109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510394109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (16391700).

Almost surely, 2510394104 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 510394104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786801600).

510394104 is an abundant number, since it is smaller than the sum of its proper divisors (1063209096).

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

510394104 is a wasteful number, since it uses less digits than its factorization.

510394104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28065 (or 28058 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 510394104 is about 22591.9035054596. The cubic root of 510394104 is about 799.1627198415.

The spelling of 510394104 in words is "five hundred ten million, three hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 6072 9108 18216 28019 56038 84057 112076 168114 224152 252171 308209 336228 504342 616418 644437 672456 924627 1008684 1232836 1288874 1849254 1933311 2017368 2465672 2577748 2773881 3698508 3866622 5155496 5547762 5799933 7088807 7397016 7733244 11095524 11599866 14177614 15466488 21266421 22191048 23199732 28355228 42532842 46399464 56710456 63799263 85065684 127598526 170131368 255197052 510394104