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4728420 = 22325109241
BaseRepresentation
bin10010000010011001100100
322220020011200
4102002121210
52202302140
6245202500
755122324
oct22023144
98806150
104728420
11273a594
121700430
13c972a8
148b1284
15636030
hex482664

4728420 has 72 divisors (see below), whose sum is σ = 14534520. Its totient is φ = 1244160.

The previous prime is 4728413. The next prime is 4728433. The reversal of 4728420 is 248274.

It can be written as a sum of positive squares in 4 ways, for example, as 1313316 + 3415104 = 1146^2 + 1848^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19500 + ... + 19740.

Almost surely, 24728420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4728420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267260).

4728420 is an abundant number, since it is smaller than the sum of its proper divisors (9806100).

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

4728420 is a wasteful number, since it uses less digits than its factorization.

4728420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

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

The square root of 4728420 is about 2174.4930443669. The cubic root of 4728420 is about 167.8438174336.

The spelling of 4728420 in words is "four million, seven hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 241 327 436 482 545 654 723 964 981 1090 1205 1308 1446 1635 1962 2169 2180 2410 2892 3270 3615 3924 4338 4820 4905 6540 7230 8676 9810 10845 14460 19620 21690 26269 43380 52538 78807 105076 131345 157614 236421 262690 315228 394035 472842 525380 788070 945684 1182105 1576140 2364210 4728420