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1240132014 = 23211171919391
BaseRepresentation
bin100100111101010…
…1110100110101110
310012102112020022100
41021322232212232
510014433211024
6323020155530
742505643142
oct11172564656
93172466270
101240132014
115870275a0
122a7398ba6
13169c06134
14ba9b9222
1573d167c9
hex49eae9ae

1240132014 has 96 divisors (see below), whose sum is σ = 3267164160. Its totient is φ = 335059200.

The previous prime is 1240131983. The next prime is 1240132021. The reversal of 1240132014 is 4102310421.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54259 + ... + 73649.

It is an arithmetic number, because the mean of its divisors is an integer number (34032960).

Almost surely, 21240132014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240132014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633582080).

1240132014 is an abundant number, since it is smaller than the sum of its proper divisors (2027032146).

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

1240132014 is a wasteful number, since it uses less digits than its factorization.

1240132014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19446 (or 19443 counting only the distinct ones).

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

The square root of 1240132014 is about 35215.5081462699. The cubic root of 1240132014 is about 1074.3751953173.

Adding to 1240132014 its reverse (4102310421), we get a palindrome (5342442435).

The spelling of 1240132014 in words is "one billion, two hundred forty million, one hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 17 18 19 22 33 34 38 51 57 66 99 102 114 153 171 187 198 209 306 323 342 374 418 561 627 646 969 1122 1254 1683 1881 1938 2907 3366 3553 3762 5814 7106 10659 19391 21318 31977 38782 58173 63954 116346 174519 213301 329647 349038 368429 426602 639903 659294 736858 988941 1105287 1279806 1919709 1977882 2210574 2966823 3315861 3626117 3839418 4052719 5933646 6263293 6631722 7252234 8105438 10878351 12158157 12526586 18789879 21756702 24316314 32635053 36474471 37579758 56369637 65270106 68896223 72948942 112739274 137792446 206688669 413377338 620066007 1240132014