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1314768 = 243721343
BaseRepresentation
bin101000000111111010000
32110210112010
411000333100
5314033033
644102520
714114100
oct5007720
92423463
101314768
11818894
12534a40
13370590
14263200
151ae863
hex140fd0

1314768 has 120 divisors (see below), whose sum is σ = 4353888. Its totient is φ = 338688.

The previous prime is 1314767. The next prime is 1314769. The reversal of 1314768 is 8674131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314767) and next prime (1314769).

It is a super-2 number, since 2×13147682 = 3457229787648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314767) 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, 30555 + ... + 30597.

21314768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176944).

1314768 is an abundant number, since it is smaller than the sum of its proper divisors (3039120).

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

1314768 is a wasteful number, since it uses less digits than its factorization.

1314768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 1314768 is about 1146.6333328488. The cubic root of 1314768 is about 109.5510072822.

Adding to 1314768 its reverse (8674131), we get a palindrome (9988899).

The spelling of 1314768 in words is "one million, three hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 43 48 49 52 56 78 84 86 91 98 104 112 129 147 156 168 172 182 196 208 258 273 294 301 312 336 344 364 392 516 546 559 588 602 624 637 688 728 784 903 1032 1092 1118 1176 1204 1274 1456 1677 1806 1911 2064 2107 2184 2236 2352 2408 2548 3354 3612 3822 3913 4214 4368 4472 4816 5096 6321 6708 7224 7644 7826 8428 8944 10192 11739 12642 13416 14448 15288 15652 16856 23478 25284 26832 27391 30576 31304 33712 46956 50568 54782 62608 82173 93912 101136 109564 164346 187824 219128 328692 438256 657384 1314768