[go: up one dir, main page]

Search a number
-
+
1042011124 = 22711171271567
BaseRepresentation
bin111110000110111…
…101001111110100
32200121201122112121
4332012331033310
54113223323444
6251221525324
734551643210
oct7606751764
92617648477
101042011124
11495208420
12250b73844
13137b5923b
149c565940
156172e084
hex3e1bd3f4

1042011124 has 96 divisors (see below), whose sum is σ = 2427715584. Its totient is φ = 378846720.

The previous prime is 1042011101. The next prime is 1042011181. The reversal of 1042011124 is 4211102401.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1042011098 and 1042011107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664189 + ... + 665755.

It is an arithmetic number, because the mean of its divisors is an integer number (25288704).

Almost surely, 21042011124 is an apocalyptic number.

1042011124 is a gapful number since it is divisible by the number (14) 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 1042011124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213857792).

1042011124 is an abundant number, since it is smaller than the sum of its proper divisors (1385704460).

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

1042011124 is a wasteful number, since it uses less digits than its factorization.

1042011124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1042011124 is about 32280.1970873785. The cubic root of 1042011124 is about 1013.8120567658.

Adding to 1042011124 its reverse (4211102401), we get a palindrome (5253113525).

The spelling of 1042011124 in words is "one billion, forty-two million, eleven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 127 154 187 238 254 308 374 476 508 748 889 1309 1397 1567 1778 2159 2618 2794 3134 3556 4318 5236 5588 6268 8636 9779 10969 15113 17237 19558 21938 23749 26639 30226 34474 39116 43876 47498 53278 60452 68948 94996 106556 120659 166243 186473 199009 241318 293029 332486 372946 398018 482636 586058 664972 745892 796036 1172116 1393063 2051203 2189099 2786126 3383153 4102406 4378198 5572252 6766306 8204812 8756396 13532612 15323693 23682071 30647386 37214683 47364142 61294772 74429366 94728284 148858732 260502781 521005562 1042011124