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1321423000 = 23535922397
BaseRepresentation
bin100111011000011…
…0101000010011000
310102002111020120121
41032300311002120
510201241014000
6335042403024
744513624122
oct11660650230
93362436517
101321423000
116189aa727
1230a660474
131809c9001
14c76da212
157b022b1a
hex4ec35098

1321423000 has 64 divisors (see below), whose sum is σ = 3144679200. Its totient is φ = 519587200.

The previous prime is 1321422983. The next prime is 1321423009. The reversal of 1321423000 is 3241231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321423009) 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 15 ways as a sum of consecutive naturals, for example, 47802 + ... + 70198.

Almost surely, 21321423000 is an apocalyptic number.

1321423000 is a gapful number since it is divisible by the number (10) 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 1321423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572339600).

1321423000 is an abundant number, since it is smaller than the sum of its proper divisors (1823256200).

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

1321423000 is a wasteful number, since it uses less digits than its factorization.

1321423000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22477 (or 22463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1321423000 is about 36351.3823671123. The cubic root of 1321423000 is about 1097.3553547679.

Adding to 1321423000 its reverse (3241231), we get a palindrome (1324664231).

The spelling of 1321423000 in words is "one billion, three hundred twenty-one million, four hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 22397 29500 44794 59000 89588 111985 179176 223970 447940 559925 895880 1119850 1321423 2239700 2642846 2799625 4479400 5285692 5599250 6607115 10571384 11198500 13214230 22397000 26428460 33035575 52856920 66071150 132142300 165177875 264284600 330355750 660711500 1321423000