Search a number
-
+
1240113042 = 232717619491
BaseRepresentation
bin100100111101010…
…1001111110010010
310012102111021021200
41021322221332102
510014432104132
6323015532030
742505533630
oct11172517622
93172437250
101240113042
11587014313
122a738a016
13169bca5cc
14ba9b2350
1573d10d7c
hex49ea9f92

1240113042 has 96 divisors (see below), whose sum is σ = 3305038464. Its totient is φ = 327974400.

The previous prime is 1240113041. The next prime is 1240113067. The reversal of 1240113042 is 2403110421.

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

It is not an unprimeable number, because it can be changed into a prime (1240113041) 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, 125917 + ... + 135407.

It is an arithmetic number, because the mean of its divisors is an integer number (34427484).

Almost surely, 21240113042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240113042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652519232).

1240113042 is an abundant number, since it is smaller than the sum of its proper divisors (2064925422).

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

1240113042 is a wasteful number, since it uses less digits than its factorization.

1240113042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9584 (or 9581 counting only the distinct ones).

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

The square root of 1240113042 is about 35215.2387752802. The cubic root of 1240113042 is about 1074.3697165591.

Adding to 1240113042 its reverse (2403110421), we get a palindrome (3643223463).

The spelling of 1240113042 in words is "one billion, two hundred forty million, one hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 61 63 102 119 122 126 153 183 238 306 357 366 427 549 714 854 1037 1071 1098 1281 2074 2142 2562 3111 3843 6222 7259 7686 9333 9491 14518 18666 18982 21777 28473 43554 56946 65331 66437 85419 130662 132874 161347 170838 199311 322694 398622 484041 578951 597933 968082 1129429 1157902 1195866 1452123 1736853 2258858 2904246 3388287 3473706 4052657 5210559 6776574 8105314 9842167 10164861 10421118 12157971 19684334 20329722 24315942 29526501 36473913 59053002 68895169 72947826 88579503 137790338 177159006 206685507 413371014 620056521 1240113042