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1312416 = 25337231
BaseRepresentation
bin101000000011010100000
32110200022000
411000122200
5313444131
644044000
714104200
oct5003240
92420260
101312416
11817046
12533600
1336c4a1
14262400
151adce6
hex1406a0

1312416 has 144 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 362880.

The previous prime is 1312411. The next prime is 1312459. The reversal of 1312416 is 6142131.

Adding to 1312416 its reverse (6142131), we get a palindrome (7454547).

It can be divided in two parts, 1312 and 416, that added together give a cube (1728 = 123).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1312411) 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, 42321 + ... + 42351.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

21312416 is an apocalyptic number.

1312416 is a gapful number since it is divisible by the number (16) 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 1312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

1312416 is an abundant number, since it is smaller than the sum of its proper divisors (3284064).

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

1312416 is a wasteful number, since it uses less digits than its factorization.

1312416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 43 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1312416 is about 1145.6072625468. The cubic root of 1312416 is about 109.4856427038.

The spelling of 1312416 in words is "one million, three hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 72 84 93 96 98 108 112 124 126 144 147 168 186 189 196 216 217 224 248 252 279 288 294 336 372 378 392 432 434 441 496 504 558 588 651 672 744 756 784 837 864 868 882 992 1008 1116 1176 1302 1323 1488 1512 1519 1568 1674 1736 1764 1953 2016 2232 2352 2604 2646 2976 3024 3038 3348 3472 3528 3906 4464 4557 4704 5208 5292 5859 6048 6076 6696 6944 7056 7812 8928 9114 10416 10584 11718 12152 13392 13671 14112 15624 18228 20832 21168 23436 24304 26784 27342 31248 36456 41013 42336 46872 48608 54684 62496 72912 82026 93744 109368 145824 164052 187488 218736 328104 437472 656208 1312416