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4283520 = 27352397
BaseRepresentation
bin10000010101110010000000
322001121212220
4100111302000
52044033040
6231451040
751260253
oct20256200
98047786
104283520
1124662aa
121526a80
13b6c937
147d709a
155992d0
hex415c80

4283520 has 128 divisors (see below), whose sum is σ = 14394240. Its totient is φ = 1081344.

The previous prime is 4283519. The next prime is 4283537. The reversal of 4283520 is 253824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44112 + ... + 44208.

It is an arithmetic number, because the mean of its divisors is an integer number (112455).

Almost surely, 24283520 is an apocalyptic number.

4283520 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 4283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197120).

4283520 is an abundant number, since it is smaller than the sum of its proper divisors (10110720).

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

4283520 is a wasteful number, since it uses less digits than its factorization.

4283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4283520 is about 2069.6666398239. Note that the first 4 decimals coincide. The cubic root of 4283520 is about 162.4053255228.

The spelling of 4283520 in words is "four million, two hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 97 115 120 128 138 160 184 192 194 230 240 276 291 320 345 368 384 388 460 480 485 552 582 640 690 736 776 920 960 970 1104 1164 1380 1455 1472 1552 1840 1920 1940 2208 2231 2328 2760 2910 2944 3104 3680 3880 4416 4462 4656 5520 5820 6208 6693 7360 7760 8832 8924 9312 11040 11155 11640 12416 13386 14720 15520 17848 18624 22080 22310 23280 26772 31040 33465 35696 37248 44160 44620 46560 53544 62080 66930 71392 89240 93120 107088 133860 142784 178480 186240 214176 267720 285568 356960 428352 535440 713920 856704 1070880 1427840 2141760 4283520