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1240133340 = 2235171637459
BaseRepresentation
bin100100111101010…
…1110111011011100
310012102112022010110
41021322232323130
510014433231330
6323020210020
742505650045
oct11172567334
93172468113
101240133340
11587028596
122a7399910
13169c06914
14ba9b98cc
1573d16db0
hex49eaeedc

1240133340 has 96 divisors (see below), whose sum is σ = 3699682560. Its totient is φ = 309298176.

The previous prime is 1240133333. The next prime is 1240133347. The reversal of 1240133340 is 433310421.

It is an interprime number because it is at equal distance from previous prime (1240133333) and next prime (1240133347).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240133347) by changing a digit.

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, 162531 + ... + 169989.

It is an arithmetic number, because the mean of its divisors is an integer number (38538360).

Almost surely, 21240133340 is an apocalyptic number.

1240133340 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 1240133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849841280).

1240133340 is an abundant number, since it is smaller than the sum of its proper divisors (2459549220).

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

1240133340 is a wasteful number, since it uses less digits than its factorization.

1240133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1240133340 is about 35215.5269731975. The cubic root of 1240133340 is about 1074.3755782391.

Adding to 1240133340 its reverse (433310421), we get a palindrome (1673443761).

The spelling of 1240133340 in words is "one billion, two hundred forty million, one hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 163 170 204 255 326 340 489 510 652 815 978 1020 1630 1956 2445 2771 3260 4890 5542 7459 8313 9780 11084 13855 14918 16626 22377 27710 29836 33252 37295 41565 44754 55420 74590 83130 89508 111885 126803 149180 166260 223770 253606 380409 447540 507212 634015 760818 1215817 1268030 1521636 1902045 2431634 2536060 3647451 3804090 4863268 6079085 7294902 7608180 12158170 14589804 18237255 20668889 24316340 36474510 41337778 62006667 72949020 82675556 103344445 124013334 206688890 248026668 310033335 413377780 620066670 1240133340