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1420032 = 283432
BaseRepresentation
bin101011010101100000000
32200010220210
411122230000
5330420112
650234120
715033015
oct5325400
92603823
101420032
1188a989
12585940
133a9473
1428d70c
151d0b3c
hex15ab00

1420032 has 54 divisors (see below), whose sum is σ = 3869292. Its totient is φ = 462336.

The previous prime is 1420031. The next prime is 1420037. The reversal of 1420032 is 2300241.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1420031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33003 + ... + 33045.

21420032 is an apocalyptic number.

1420032 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 1420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934646).

1420032 is an abundant number, since it is smaller than the sum of its proper divisors (2449260).

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

1420032 is an frugal number, since it uses more digits than its factorization.

1420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1420032 is about 1191.6509556074. The cubic root of 1420032 is about 112.3999307675.

Multiplying 1420032 by its sum of digits (12), we get a square (17040384 = 41282).

1420032 divided by its sum of digits (12) gives a square (118336 = 3442).

Multiplying 1420032 by its product of nonzero digits (48), we get a square (68161536 = 82562).

1420032 divided by its product of nonzero digits (48) gives a square (29584 = 1722).

Adding to 1420032 its reverse (2300241), we get a palindrome (3720273).

The spelling of 1420032 in words is "one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 1849 2064 2752 3698 4128 5504 5547 7396 8256 11008 11094 14792 16512 22188 29584 33024 44376 59168 88752 118336 177504 236672 355008 473344 710016 1420032