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1142000320 = 26519317383
BaseRepresentation
bin100010000010001…
…1000101011000000
32221120212121221011
41010010120223000
54314323002240
6305153010304
740204561666
oct10404305300
92846777834
101142000320
115366a181a
1227a553994
13152797b46
14ab952c36
156a3d06ea
hex44118ac0

1142000320 has 224 divisors, whose sum is σ = 3031418880. Its totient is φ = 408084480.

The previous prime is 1142000287. The next prime is 1142000323. The reversal of 1142000320 is 230002411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142000320.

It is not an unprimeable number, because it can be changed into a prime (1142000323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13758999 + ... + 13759081.

It is an arithmetic number, because the mean of its divisors is an integer number (13533120).

Almost surely, 21142000320 is an apocalyptic number.

1142000320 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 1142000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515709440).

1142000320 is an abundant number, since it is smaller than the sum of its proper divisors (1889418560).

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

1142000320 is a wasteful number, since it uses less digits than its factorization.

1142000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1142000320 is about 33793.4952320709. The cubic root of 1142000320 is about 1045.2545704284.

Adding to 1142000320 its reverse (230002411), we get a palindrome (1372002731).

The spelling of 1142000320 in words is "one billion, one hundred forty-two million, three hundred twenty", and thus it is an aban number.