Search a number
-
+
1428336 = 2432713109
BaseRepresentation
bin101011100101101110000
32200120022100
411130231300
5331201321
650340400
715066150
oct5345560
92616270
101428336
11896148
1258a700
133b0190
14292760
151d3326
hex15cb70

1428336 has 120 divisors (see below), whose sum is σ = 4964960. Its totient is φ = 373248.

The previous prime is 1428281. The next prime is 1428359. The reversal of 1428336 is 6338241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 13050 + ... + 13158.

21428336 is an apocalyptic number.

1428336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482480).

1428336 is an abundant number, since it is smaller than the sum of its proper divisors (3536624).

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

1428336 is a wasteful number, since it uses less digits than its factorization.

1428336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 1428336 is about 1195.1301184390. The cubic root of 1428336 is about 112.6186008494.

It can be divided in two parts, 1428 and 336, that added together give a square (1764 = 422).

The spelling of 1428336 in words is "one million, four hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 109 112 117 126 144 156 168 182 208 218 234 252 273 312 327 336 364 436 468 504 546 624 654 728 763 819 872 936 981 1008 1092 1308 1417 1456 1526 1638 1744 1872 1962 2184 2289 2616 2834 3052 3276 3924 4251 4368 4578 5232 5668 6104 6552 6867 7848 8502 9156 9919 11336 12208 12753 13104 13734 15696 17004 18312 19838 22672 25506 27468 29757 34008 36624 39676 51012 54936 59514 68016 79352 89271 102024 109872 119028 158704 178542 204048 238056 357084 476112 714168 1428336