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1429088 = 25173771
BaseRepresentation
bin101011100111001100000
32200121100012
411130321200
5331212323
650344052
715101303
oct5347140
92617305
101429088
11896771
1258b028
133b061b
14292b3a
151d3678
hex15ce60

1429088 has 48 divisors (see below), whose sum is σ = 3102624. Its totient is φ = 645120.

The previous prime is 1429081. The next prime is 1429093. The reversal of 1429088 is 8809241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429081) 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, 20093 + ... + 20163.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

21429088 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 1429088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312).

1429088 is an abundant number, since it is smaller than the sum of its proper divisors (1673536).

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

1429088 is a wasteful number, since it uses less digits than its factorization.

1429088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1429088 is about 1195.4446871353. Note that the first 3 decimals coincide. The cubic root of 1429088 is about 112.6383614496.

It can be divided in two parts, 142 and 9088, that multiplied together give a square (1290496 = 11362).

The spelling of 1429088 in words is "one million, four hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 68 71 74 136 142 148 272 284 296 544 568 592 629 1136 1184 1207 1258 2272 2414 2516 2627 4828 5032 5254 9656 10064 10508 19312 20128 21016 38624 42032 44659 84064 89318 178636 357272 714544 1429088