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1311453240 = 233541926083
BaseRepresentation
bin100111000101011…
…0011000000111000
310101101201201122020
41032022303000320
510141213000430
6334044554440
744333111556
oct11612630070
93341651566
101311453240
11613310259
12307252a20
1317b918146
14c6262bd6
157a203b10
hex4e2b3038

1311453240 has 64 divisors (see below), whose sum is σ = 3943900800. Its totient is φ = 348872832.

The previous prime is 1311453193. The next prime is 1311453251. The reversal of 1311453240 is 423541131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1311453240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37239 + ... + 63321.

It is an arithmetic number, because the mean of its divisors is an integer number (61623450).

Almost surely, 21311453240 is an apocalyptic number.

1311453240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311453240 is an abundant number, since it is smaller than the sum of its proper divisors (2632447560).

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

1311453240 is a wasteful number, since it uses less digits than its factorization.

1311453240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26516 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1311453240 is about 36213.9923234100. The cubic root of 1311453240 is about 1094.5886405463.

Adding to 1311453240 its reverse (423541131), we get a palindrome (1734994371).

The spelling of 1311453240 in words is "one billion, three hundred eleven million, four hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 419 838 1257 1676 2095 2514 3352 4190 5028 6285 8380 10056 12570 16760 25140 26083 50280 52166 78249 104332 130415 156498 208664 260830 312996 391245 521660 625992 782490 1043320 1564980 3129960 10928777 21857554 32786331 43715108 54643885 65572662 87430216 109287770 131145324 163931655 218575540 262290648 327863310 437151080 655726620 1311453240