Search a number
-
+
1022124140 = 2252329193397
BaseRepresentation
bin111100111011000…
…110000001101100
32122020022021201122
4330323012001230
54043130433030
6245231400112
734220624522
oct7473060154
92566267648
101022124140
11484a64aa4
12246383038
131339b53ab
1499a6a312
155eb018e5
hex3cec606c

1022124140 has 96 divisors (see below), whose sum is σ = 2334890880. Its totient is φ = 374685696.

The previous prime is 1022124119. The next prime is 1022124143. The reversal of 1022124140 is 414212201.

1022124140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1022124143) 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, 2574422 + ... + 2574818.

It is an arithmetic number, because the mean of its divisors is an integer number (24321780).

Almost surely, 21022124140 is an apocalyptic number.

1022124140 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 1022124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167445440).

1022124140 is an abundant number, since it is smaller than the sum of its proper divisors (1312766740).

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

1022124140 is a wasteful number, since it uses less digits than its factorization.

1022124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1022124140 is about 31970.6762518405. The cubic root of 1022124140 is about 1007.3209857077.

Adding to 1022124140 its reverse (414212201), we get a palindrome (1436336341).

The spelling of 1022124140 in words is "one billion, twenty-two million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 193 230 290 386 397 460 580 667 772 794 965 1334 1588 1930 1985 2668 3335 3860 3970 4439 5597 6670 7940 8878 9131 11194 11513 13340 17756 18262 22195 22388 23026 27985 36524 44390 45655 46052 55970 57565 76621 88780 91310 111940 115130 128731 153242 182620 230260 257462 264799 306484 383105 514924 529598 643655 766210 1059196 1287310 1323995 1532420 1762283 2222009 2574620 2647990 3524566 4444018 5295980 7049132 8811415 8888036 11110045 17622830 22220090 35245660 44440180 51106207 102212414 204424828 255531035 511062070 1022124140