Search a number
-
+
1023015042 = 23372596553
BaseRepresentation
bin111100111110011…
…111100010000010
32122021222112211000
4330332133202002
54043342440132
6245302432430
734231325100
oct7476374202
92567875730
101023015042
11485513385
12246732716
13133c37a5a
1499c1cc70
155ec2a87c
hex3cf9f882

1023015042 has 96 divisors (see below), whose sum is σ = 2689761600. Its totient is φ = 287292096.

The previous prime is 1023015041. The next prime is 1023015047. The reversal of 1023015042 is 2405103201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023015041) 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 47 ways as a sum of consecutive naturals, for example, 152838 + ... + 159390.

It is an arithmetic number, because the mean of its divisors is an integer number (28018350).

Almost surely, 21023015042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023015042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344880800).

1023015042 is an abundant number, since it is smaller than the sum of its proper divisors (1666746558).

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

1023015042 is a wasteful number, since it uses less digits than its factorization.

1023015042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6624 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1023015042 is about 31984.6063286700. The cubic root of 1023015042 is about 1007.6135671515.

Adding to 1023015042 its reverse (2405103201), we get a palindrome (3428118243).

The spelling of 1023015042 in words is "one billion, twenty-three million, fifteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 294 354 378 413 441 531 826 882 1062 1239 1323 1593 2478 2646 2891 3186 3717 5782 6553 7434 8673 11151 13106 17346 19659 22302 26019 39318 45871 52038 58977 78057 91742 117954 137613 156114 176931 275226 321097 353862 386627 412839 642194 773254 825678 963291 1159881 1238517 1926582 2319762 2477034 2706389 2889873 3479643 5412778 5779746 6959286 8119167 8669619 10438929 16238334 17339238 18944723 20877858 24357501 37889446 48715002 56834169 73072503 113668338 146145006 170502507 341005014 511507521 1023015042