Search a number
-
+
1142322320 = 24541348269
BaseRepresentation
bin100010000010110…
…0111010010010000
32221121110222122002
41010011213102100
54314413303240
6305203533132
740210402526
oct10405472220
92847428562
101142322320
115368a1737
1227a68a1a8
1315287b589
14ab9d8316
156a445d15
hex44167490

1142322320 has 40 divisors (see below), whose sum is σ = 2720685240. Its totient is φ = 445783040.

The previous prime is 1142322319. The next prime is 1142322371. The reversal of 1142322320 is 232232411.

It can be written as a sum of positive squares in 4 ways, for example, as 181818256 + 960504064 = 13484^2 + 30992^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1142322292 and 1142322301.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 170855 + ... + 177414.

It is an arithmetic number, because the mean of its divisors is an integer number (68017131).

Almost surely, 21142322320 is an apocalyptic number.

1142322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142322320 is an abundant number, since it is smaller than the sum of its proper divisors (1578362920).

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

1142322320 is a wasteful number, since it uses less digits than its factorization.

1142322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348323 (or 348317 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1142322320 is about 33798.2591267657. The cubic root of 1142322320 is about 1045.3528016745.

Adding to 1142322320 its reverse (232232411), we get a palindrome (1374554731).

The spelling of 1142322320 in words is "one billion, one hundred forty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 348269 696538 1393076 1741345 2786152 3482690 5572304 6965380 13930760 14279029 27861520 28558058 57116116 71395145 114232232 142790290 228464464 285580580 571161160 1142322320