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6009696 = 2532711271
BaseRepresentation
bin10110111011001101100000
3102022022202100
4112323031200
53014302241
6332450400
7102036660
oct26731540
912268670
106009696
1134351a0
122019a00
131325544
14b261a0
157da9b6
hex5bb360

6009696 has 144 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 1555200.

The previous prime is 6009683. The next prime is 6009709. The reversal of 6009696 is 6969006.

6009696 is digitally balanced in base 4, base 5 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6009683) and next prime (6009709).

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

It is a super-2 number, since 2×60096962 = 72232892024832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

6009696 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 6009696.

It is a congruent number.

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, 22041 + ... + 22311.

It is an arithmetic number, because the mean of its divisors is an integer number (148512).

Almost surely, 26009696 is an apocalyptic number.

6009696 is a gapful number since it is divisible by the number (66) 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 6009696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10692864).

6009696 is an abundant number, since it is smaller than the sum of its proper divisors (15376032).

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

6009696 is a wasteful number, since it uses less digits than its factorization.

6009696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6009696 is about 2451.4681315489. The cubic root of 6009696 is about 181.8098888339.

It can be divided in two parts, 600 and 9696, that added together give a triangular number (10296 = T143).

The spelling of 6009696 in words is "six million, nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 271 288 308 336 352 396 462 504 528 542 616 672 693 792 813 924 1008 1056 1084 1232 1386 1584 1626 1848 1897 2016 2168 2439 2464 2772 2981 3168 3252 3696 3794 4336 4878 5544 5691 5962 6504 7392 7588 8672 8943 9756 11088 11382 11924 13008 15176 17073 17886 19512 20867 22176 22764 23848 26016 26829 30352 34146 35772 39024 41734 45528 47696 53658 60704 62601 68292 71544 78048 83468 91056 95392 107316 125202 136584 143088 166936 182112 187803 214632 250404 273168 286176 333872 375606 429264 500808 546336 667744 751212 858528 1001616 1502424 2003232 3004848 6009696