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1314240 = 2635372
BaseRepresentation
bin101000000110111000000
32110202210120
411000313000
5314023430
644100240
714112414
oct5006700
92422716
101314240
11818454
12534680
13370275
14262d44
151ae610
hex140dc0

1314240 has 84 divisors (see below), whose sum is σ = 4288536. Its totient is φ = 340992.

The previous prime is 1314239. The next prime is 1314259. The reversal of 1314240 is 424131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35502 + ... + 35538.

It is an arithmetic number, because the mean of its divisors is an integer number (51054).

21314240 is an apocalyptic number.

1314240 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 1314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144268).

1314240 is an abundant number, since it is smaller than the sum of its proper divisors (2974296).

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

1314240 is an equidigital number, since it uses as much as digits as its factorization.

1314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1314240 is about 1146.4030704774. The cubic root of 1314240 is about 109.5363403912.

Multiplying 1314240 by its sum of digits (15), we get a square (19713600 = 44402).

1314240 divided by its sum of digits (15) gives a square (87616 = 2962).

Adding to 1314240 its reverse (424131), we get a palindrome (1738371).

It can be divided in two parts, 131 and 4240, that added together give a triangular number (4371 = T93).

The spelling of 1314240 in words is "one million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1369 1480 1776 2220 2368 2738 2960 3552 4107 4440 5476 5920 6845 7104 8214 8880 10952 11840 13690 16428 17760 20535 21904 27380 32856 35520 41070 43808 54760 65712 82140 87616 109520 131424 164280 219040 262848 328560 438080 657120 1314240