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6128430 = 2357211379
BaseRepresentation
bin10111011000001100101110
3102112100121220
4113120030232
53032102210
6335204210
7103043100
oct27301456
912470556
106128430
113506420
122076666
1313675b9
14b57570
15810c70
hex5d832e

6128430 has 96 divisors (see below), whose sum is σ = 18714240. Its totient is φ = 1270080.

The previous prime is 6128417. The next prime is 6128459. The reversal of 6128430 is 348216.

It is a happy number.

6128430 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

6128430 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 6128430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15981 + ... + 16359.

It is an arithmetic number, because the mean of its divisors is an integer number (194940).

Almost surely, 26128430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6128430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357120).

6128430 is an abundant number, since it is smaller than the sum of its proper divisors (12585810).

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

6128430 is a wasteful number, since it uses less digits than its factorization.

6128430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6128430 is about 2475.5666018106. The cubic root of 6128430 is about 182.9994326478. Note that the first 3 decimals are identical.

The spelling of 6128430 in words is "six million, one hundred twenty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 379 385 462 490 539 735 758 770 1078 1137 1155 1470 1617 1895 2274 2310 2653 2695 3234 3790 4169 5306 5390 5685 7959 8085 8338 11370 12507 13265 15918 16170 18571 20845 25014 26530 29183 37142 39795 41690 55713 58366 62535 79590 87549 92855 111426 125070 145915 175098 185710 204281 278565 291830 408562 437745 557130 612843 875490 1021405 1225686 2042810 3064215 6128430