Search a number
-
+
1028045142 = 23326097297
BaseRepresentation
bin111101010001101…
…011100101010110
32122122110002211000
4331101223211112
54101134421032
6250002324130
734322145105
oct7521534526
92578402730
101028045142
11488339593
12248359646
13134ca9447
149a76c03c
15603c0e7c
hex3d46b956

1028045142 has 32 divisors (see below), whose sum is σ = 2285733600. Its totient is φ = 342503424.

The previous prime is 1028045113. The next prime is 1028045143. The reversal of 1028045142 is 2415408201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028045143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137238 + ... + 144534.

It is an arithmetic number, because the mean of its divisors is an integer number (71429175).

Almost surely, 21028045142 is an apocalyptic number.

1028045142 is an abundant number, since it is smaller than the sum of its proper divisors (1257688458).

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

1028045142 is a wasteful number, since it uses less digits than its factorization.

1028045142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1028045142 is about 32063.1430461831. The cubic root of 1028045142 is about 1009.2623251262.

The spelling of 1028045142 in words is "one billion, twenty-eight million, forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 2609 5218 7297 7827 14594 15654 21891 23481 43782 46962 65673 70443 131346 140886 197019 394038 19037873 38075746 57113619 114227238 171340857 342681714 514022571 1028045142