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1314040 = 235713192
BaseRepresentation
bin101000000110011111000
32110202112011
411000303320
5314022130
644055304
714112010
oct5006370
92422464
101314040
11818292
12534534
13370150
14262c40
151ae52a
hex140cf8

1314040 has 96 divisors (see below), whose sum is σ = 3840480. Its totient is φ = 393984.

The previous prime is 1314023. The next prime is 1314043. The reversal of 1314040 is 404131.

It is a super-2 number, since 2×13140402 = 3453402243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1314040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69151 + ... + 69169.

It is an arithmetic number, because the mean of its divisors is an integer number (40005).

21314040 is an apocalyptic number.

1314040 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 1314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920240).

1314040 is an abundant number, since it is smaller than the sum of its proper divisors (2526440).

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

1314040 is a wasteful number, since it uses less digits than its factorization.

1314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1314040 is about 1146.3158378039. The cubic root of 1314040 is about 109.5307837249.

Adding to 1314040 its reverse (404131), we get a palindrome (1718171).

Subtracting from 1314040 its reverse (404131), we obtain a palindrome (909909).

The spelling of 1314040 in words is "one million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 19 20 26 28 35 38 40 52 56 65 70 76 91 95 104 130 133 140 152 182 190 247 260 266 280 361 364 380 455 494 520 532 665 722 728 760 910 988 1064 1235 1330 1444 1729 1805 1820 1976 2470 2527 2660 2888 3458 3610 3640 4693 4940 5054 5320 6916 7220 8645 9386 9880 10108 12635 13832 14440 17290 18772 20216 23465 25270 32851 34580 37544 46930 50540 65702 69160 93860 101080 131404 164255 187720 262808 328510 657020 1314040