Search a number
-
+
1240232112 = 243276072027
BaseRepresentation
bin100100111101100…
…0111000010110000
310012102201022121200
41021323013002300
510014444411422
6323022251200
742506541030
oct11173070260
93172638550
101240232112
11587095819
122a7426b00
13169c3c872
14baa038c0
1573d362ac
hex49ec70b0

1240232112 has 120 divisors (see below), whose sum is σ = 3975269376. Its totient is φ = 353593728.

The previous prime is 1240232107. The next prime is 1240232153. The reversal of 1240232112 is 2112320421.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610843 + ... + 612869.

Almost surely, 21240232112 is an apocalyptic number.

1240232112 is a gapful number since it is divisible by the number (12) 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 1240232112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987634688).

1240232112 is an abundant number, since it is smaller than the sum of its proper divisors (2735037264).

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

1240232112 is a wasteful number, since it uses less digits than its factorization.

1240232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1240232112 is about 35216.9293380329. The cubic root of 1240232112 is about 1074.4041008192.

Adding to 1240232112 its reverse (2112320421), we get a palindrome (3352552533).

The spelling of 1240232112 in words is "one billion, two hundred forty million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 607 1008 1214 1821 2027 2428 3642 4054 4249 4856 5463 6081 7284 8108 8498 9712 10926 12162 12747 14189 14568 16216 16996 18243 21852 24324 25494 28378 29136 32432 33992 36486 38241 42567 43704 48648 50988 56756 67984 72972 76482 85134 87408 97296 101976 113512 127701 145944 152964 170268 203952 227024 255402 291888 305928 340536 510804 611856 681072 1021608 1230389 2043216 2460778 3691167 4921556 7382334 8612723 9843112 11073501 14764668 17225446 19686224 22147002 25838169 29529336 34450892 44294004 51676338 59058672 68901784 77514507 88588008 103352676 137803568 155029014 177176016 206705352 310058028 413410704 620116056 1240232112