Search a number
-
+
512416104 = 23361834217
BaseRepresentation
bin11110100010101…
…101100101101000
31022201012102202020
4132202231211220
52022134303404
6122502504440
715461315334
oct3642554550
91281172666
10512416104
11243277892
12123735120
13822115c5
144c0a87c4
152eebbed9
hex1e8ad968

512416104 has 64 divisors (see below), whose sum is σ = 1318040640. Its totient is φ = 165941760.

The previous prime is 512416027. The next prime is 512416123. The reversal of 512416104 is 401614215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119404 + ... + 123620.

It is an arithmetic number, because the mean of its divisors is an integer number (20594385).

Almost surely, 2512416104 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 512416104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659020320).

512416104 is an abundant number, since it is smaller than the sum of its proper divisors (805624536).

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

512416104 is a wasteful number, since it uses less digits than its factorization.

512416104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 512416104 is about 22636.6098168432. The cubic root of 512416104 is about 800.2166621499.

The spelling of 512416104 in words is "five hundred twelve million, four hundred sixteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 61 83 122 166 183 244 249 332 366 488 498 664 732 996 1464 1992 4217 5063 8434 10126 12651 15189 16868 20252 25302 30378 33736 40504 50604 60756 101208 121512 257237 350011 514474 700022 771711 1028948 1050033 1400044 1543422 2057896 2100066 2800088 3086844 4200132 6173688 8400264 21350671 42701342 64052013 85402684 128104026 170805368 256208052 512416104