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1429728 = 25353281
BaseRepresentation
bin101011101000011100000
32200122012220
411131003200
5331222403
650351040
715103206
oct5350340
92618186
101429728
118971a3
1258b480
133b09c1
14293076
151d3953
hex15d0e0

1429728 has 48 divisors (see below), whose sum is σ = 3837456. Its totient is φ = 465920.

The previous prime is 1429721. The next prime is 1429733. The reversal of 1429728 is 8279241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4948 + ... + 5228.

It is an arithmetic number, because the mean of its divisors is an integer number (79947).

21429728 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 1429728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918728).

1429728 is an abundant number, since it is smaller than the sum of its proper divisors (2407728).

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

1429728 is a wasteful number, since it uses less digits than its factorization.

1429728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 1429728 is about 1195.7123399882. The cubic root of 1429728 is about 112.6551735219.

It can be divided in two parts, 142 and 9728, that added together give a triangular number (9870 = T140).

The spelling of 1429728 in words is "one million, four hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 281 318 424 562 636 843 848 1124 1272 1686 1696 2248 2544 3372 4496 5088 6744 8992 13488 14893 26976 29786 44679 59572 89358 119144 178716 238288 357432 476576 714864 1429728