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4806720 = 263251669
BaseRepresentation
bin10010010101100001000000
3100001012120200
4102111201000
52212303340
6251005200
755566522
oct22254100
910035520
104806720
1127933a6
121739800
13cc3b19
148d1a12
1564e330
hex495840

4806720 has 84 divisors (see below), whose sum is σ = 16543020. Its totient is φ = 1281024.

The previous prime is 4806719. The next prime is 4806731. The reversal of 4806720 is 276084.

It can be written as a sum of positive squares in 2 ways, for example, as 2143296 + 2663424 = 1464^2 + 1632^2 .

It is a super-3 number, since 3×48067203 (a number of 21 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2046 + ... + 3714.

Almost surely, 24806720 is an apocalyptic number.

4806720 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 4806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271510).

4806720 is an abundant number, since it is smaller than the sum of its proper divisors (11736300).

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

4806720 is a wasteful number, since it uses less digits than its factorization.

4806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1679 counting only the distinct ones).

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

The square root of 4806720 is about 2192.4233167890. The cubic root of 4806720 is about 168.7652167348.

The spelling of 4806720 in words is "four million, eight hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1669 2880 3338 5007 6676 8345 10014 13352 15021 16690 20028 25035 26704 30042 33380 40056 50070 53408 60084 66760 75105 80112 100140 106816 120168 133520 150210 160224 200280 240336 267040 300420 320448 400560 480672 534080 600840 801120 961344 1201680 1602240 2403360 4806720