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1314303540 = 2235115337573
BaseRepresentation
bin100111001010110…
…1010111000110100
310101121002112111220
41032111222320310
510142430203130
6334230030340
744366252514
oct11625527064
93347075456
101314303540
11614987780
123081a83b0
1317c3a5604
14c67a5844
157a5b8410
hex4e56ae34

1314303540 has 96 divisors (see below), whose sum is σ = 4090455936. Its totient is φ = 312599040.

The previous prime is 1314303539. The next prime is 1314303553. The reversal of 1314303540 is 453034131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314303540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16194 + ... + 53766.

It is an arithmetic number, because the mean of its divisors is an integer number (42608916).

Almost surely, 21314303540 is an apocalyptic number.

1314303540 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 1314303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045227968).

1314303540 is an abundant number, since it is smaller than the sum of its proper divisors (2776152396).

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

1314303540 is a wasteful number, since it uses less digits than its factorization.

1314303540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37649 (or 37647 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1314303540 is about 36253.3245372062. The cubic root of 1314303540 is about 1095.3810562610.

Adding to 1314303540 its reverse (453034131), we get a palindrome (1767337671).

The spelling of 1314303540 in words is "one billion, three hundred fourteen million, three hundred three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3498 5830 6996 8745 11660 17490 34980 37573 75146 112719 150292 187865 225438 375730 413303 450876 563595 751460 826606 1127190 1239909 1653212 1991369 2066515 2254380 2479818 3982738 4133030 4959636 5974107 6199545 7965476 8266060 9956845 11948214 12399090 19913690 21905059 23896428 24798180 29870535 39827380 43810118 59741070 65715177 87620236 109525295 119482140 131430354 219050590 262860708 328575885 438101180 657151770 1314303540