Search a number
-
+
4601430 = 2325294143
BaseRepresentation
bin10001100011011001010110
322122202222100
4101203121112
52134221210
6242342530
754053151
oct21433126
98582870
104601430
112663139
12165aa46
13c51552
1487ac98
1560d5c0
hex463656

4601430 has 96 divisors (see below), whose sum is σ = 12972960. Its totient is φ = 1128960.

The previous prime is 4601417. The next prime is 4601447. The reversal of 4601430 is 341064.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106989 + ... + 107031.

It is an arithmetic number, because the mean of its divisors is an integer number (135135).

Almost surely, 24601430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4601430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486480).

4601430 is an abundant number, since it is smaller than the sum of its proper divisors (8371530).

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

4601430 is a wasteful number, since it uses less digits than its factorization.

4601430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4601430 is about 2145.0944035170. The cubic root of 4601430 is about 166.3275817073.

Adding to 4601430 its reverse (341064), we get a palindrome (4942494).

The spelling of 4601430 in words is "four million, six hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 41 43 45 58 82 86 87 90 123 129 145 174 205 215 246 258 261 290 369 387 410 430 435 522 615 645 738 774 870 1189 1230 1247 1290 1305 1763 1845 1935 2378 2494 2610 3526 3567 3690 3741 3870 5289 5945 6235 7134 7482 8815 10578 10701 11223 11890 12470 15867 17630 17835 18705 21402 22446 26445 31734 35670 37410 51127 52890 53505 56115 79335 102254 107010 112230 153381 158670 255635 306762 460143 511270 766905 920286 1533810 2300715 4601430