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26714016 = 253372631
BaseRepresentation
bin110010111100…
…1111110100000
31212021012202000
41211321332200
523314322031
62352324000
7443031300
oct145717640
955235660
1026714016
11140966aa
128b43600
1356c4414
143795600
15252a3e6
hex1979fa0

26714016 has 144 divisors (see below), whose sum is σ = 90780480. Its totient is φ = 7620480.

The previous prime is 26714003. The next prime is 26714027. The reversal of 26714016 is 61041762.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42021 + ... + 42651.

It is an arithmetic number, because the mean of its divisors is an integer number (630420).

Almost surely, 226714016 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 26714016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45390240).

26714016 is an abundant number, since it is smaller than the sum of its proper divisors (64066464).

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

26714016 is a wasteful number, since it uses less digits than its factorization.

26714016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 26714016 is about 5168.5603411395. The cubic root of 26714016 is about 298.9370381553.

Adding to 26714016 its reverse (61041762), we get a palindrome (87755778).

The spelling of 26714016 in words is "twenty-six million, seven hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 631 672 756 784 864 882 1008 1176 1262 1323 1512 1568 1764 1893 2016 2352 2524 2646 3024 3528 3786 4417 4704 5048 5292 5679 6048 7056 7572 8834 10096 10584 11358 13251 14112 15144 17037 17668 20192 21168 22716 26502 30288 30919 34074 35336 39753 42336 45432 53004 60576 61838 68148 70672 79506 90864 92757 106008 119259 123676 136296 141344 159012 181728 185514 212016 238518 247352 272592 278271 318024 371028 424032 477036 494704 545184 556542 636048 742056 834813 954072 989408 1113084 1272096 1484112 1669626 1908144 2226168 2968224 3339252 3816288 4452336 6678504 8904672 13357008 26714016