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2672208 = 2432711241
BaseRepresentation
bin1010001100011001010000
312000202120200
422030121100
51141002313
6133135200
731466460
oct12143120
95022520
102672208
111565740
12a8a500
137273b6
144d7ba0
1537bb73
hex28c650

2672208 has 120 divisors (see below), whose sum is σ = 9362496. Its totient is φ = 691200.

The previous prime is 2672203. The next prime is 2672233. The reversal of 2672208 is 8022762.

2672208 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672203) 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, 10968 + ... + 11208.

22672208 is an apocalyptic number.

2672208 is a gapful number since it is divisible by the number (28) 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 2672208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681248).

2672208 is an abundant number, since it is smaller than the sum of its proper divisors (6690288).

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

2672208 is a wasteful number, since it uses less digits than its factorization.

2672208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2672208 is about 1634.6889612400. The cubic root of 2672208 is about 138.7682420622.

The spelling of 2672208 in words is "two million, six hundred seventy-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 241 252 264 308 336 396 462 482 504 528 616 693 723 792 924 964 1008 1232 1386 1446 1584 1687 1848 1928 2169 2651 2772 2892 3374 3696 3856 4338 5061 5302 5544 5784 6748 7953 8676 10122 10604 11088 11568 13496 15183 15906 17352 18557 20244 21208 23859 26992 30366 31812 34704 37114 40488 42416 47718 55671 60732 63624 74228 80976 95436 111342 121464 127248 148456 167013 190872 222684 242928 296912 334026 381744 445368 668052 890736 1336104 2672208