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4284720 = 2432511541
BaseRepresentation
bin10000010110000100110000
322001200112100
4100112010300
52044102340
6231500400
751263616
oct20260460
98050470
104284720
1124671a0
121527700
13b7034b
147d76b6
15599830
hex416130

4284720 has 120 divisors (see below), whose sum is σ = 15726672. Its totient is φ = 1036800.

The previous prime is 4284713. The next prime is 4284737. The reversal of 4284720 is 274824.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 7650 + ... + 8190.

Almost surely, 24284720 is an apocalyptic number.

4284720 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 4284720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7863336).

4284720 is an abundant number, since it is smaller than the sum of its proper divisors (11441952).

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

4284720 is a wasteful number, since it uses less digits than its factorization.

4284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4284720 is about 2069.9565212825. The cubic root of 4284720 is about 162.4204897020.

The spelling of 4284720 in words is "four million, two hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 541 660 720 792 880 990 1082 1320 1584 1623 1980 2164 2640 2705 3246 3960 4328 4869 5410 5951 6492 7920 8115 8656 9738 10820 11902 12984 16230 17853 19476 21640 23804 24345 25968 29755 32460 35706 38952 43280 47608 48690 53559 59510 64920 71412 77904 89265 95216 97380 107118 119020 129840 142824 178530 194760 214236 238040 267795 285648 357060 389520 428472 476080 535590 714120 856944 1071180 1428240 2142360 4284720