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1429272 = 233313509
BaseRepresentation
bin101011100111100011000
32200121121000
411130330120
5331214042
650345000
715101655
oct5347430
92617530
101429272
11896919
1258b160
133b0730
14292c2c
151d374c
hex15cf18

1429272 has 64 divisors (see below), whose sum is σ = 4284000. Its totient is φ = 438912.

The previous prime is 1429261. The next prime is 1429279. The reversal of 1429272 is 2729241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429279) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2554 + ... + 3062.

21429272 is an apocalyptic number.

1429272 is a gapful number since it is divisible by the number (12) 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 1429272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142000).

1429272 is an abundant number, since it is smaller than the sum of its proper divisors (2854728).

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

1429272 is a wasteful number, since it uses less digits than its factorization.

1429272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1429272 is about 1195.5216434678. The cubic root of 1429272 is about 112.6431954344.

The spelling of 1429272 in words is "one million, four hundred twenty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 509 702 936 1018 1404 1527 2036 2808 3054 4072 4581 6108 6617 9162 12216 13234 13743 18324 19851 26468 27486 36648 39702 52936 54972 59553 79404 109944 119106 158808 178659 238212 357318 476424 714636 1429272