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4450680 = 2333513317
BaseRepresentation
bin10000111110100101111000
322101010012000
4100332211320
52114410210
6235221000
752554513
oct20764570
98333160
104450680
11256a953
1215a7760
13bcaa50
1483bd7a
155cdac0
hex43e978

4450680 has 128 divisors (see below), whose sum is σ = 16027200. Its totient is φ = 1092096.

The previous prime is 4450679. The next prime is 4450681. The reversal of 4450680 is 860544.

4450680 is digitally balanced in base 4, because in such base 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 (4450679) and next prime (4450681).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13882 + ... + 14198.

Almost surely, 24450680 is an apocalyptic number.

4450680 is a gapful number since it is divisible by the number (40) 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 4450680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013600).

4450680 is an abundant number, since it is smaller than the sum of its proper divisors (11576520).

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

4450680 is a wasteful number, since it uses less digits than its factorization.

4450680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4450680 is about 2109.6634802736. The cubic root of 4450680 is about 164.4909933693.

The spelling of 4450680 in words is "four million, four hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 317 351 360 390 468 520 540 585 634 702 780 936 951 1080 1170 1268 1404 1560 1585 1755 1902 2340 2536 2808 2853 3170 3510 3804 4121 4680 4755 5706 6340 7020 7608 8242 8559 9510 11412 12363 12680 14040 14265 16484 17118 19020 20605 22824 24726 28530 32968 34236 37089 38040 41210 42795 49452 57060 61815 68472 74178 82420 85590 98904 111267 114120 123630 148356 164840 171180 185445 222534 247260 296712 342360 370890 445068 494520 556335 741780 890136 1112670 1483560 2225340 4450680