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1429428 = 22372111317
BaseRepresentation
bin101011100111110110100
32200121210210
411130332310
5331220203
650345420
715102300
oct5347664
92617723
101429428
11896a50
1258b270
133b0820
14292d00
151d3803
hex15cfb4

1429428 has 144 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 322560.

The previous prime is 1429423. The next prime is 1429451. The reversal of 1429428 is 8249241.

It is a junction number, because it is equal to n+sod(n) for n = 1429395 and 1429404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84076 + ... + 84092.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

21429428 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 1429428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413152).

1429428 is an abundant number, since it is smaller than the sum of its proper divisors (3396876).

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

1429428 is a wasteful number, since it uses less digits than its factorization.

1429428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1429428 is about 1195.5868851740. The cubic root of 1429428 is about 112.6472934878.

The spelling of 1429428 in words is "one million, four hundred twenty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 17 21 22 26 28 33 34 39 42 44 49 51 52 66 68 77 78 84 91 98 102 119 132 143 147 154 156 182 187 196 204 221 231 238 273 286 294 308 357 364 374 429 442 462 476 539 546 561 572 588 637 663 714 748 833 858 884 924 1001 1078 1092 1122 1274 1309 1326 1428 1547 1617 1666 1716 1911 2002 2156 2244 2431 2499 2548 2618 2652 3003 3094 3234 3332 3822 3927 4004 4641 4862 4998 5236 6006 6188 6468 7007 7293 7644 7854 9163 9282 9724 9996 10829 12012 14014 14586 15708 17017 18326 18564 21021 21658 27489 28028 29172 32487 34034 36652 42042 43316 51051 54978 64974 68068 84084 102102 109956 119119 129948 204204 238238 357357 476476 714714 1429428