Search a number
-
+
4727920 = 245113523
BaseRepresentation
bin10010000010010001110000
322220012111011
4102002101300
52202243140
6245200304
755121011
oct22022160
98805434
104727920
11273a17a
121700094
13c96cb2
148b1008
15635cea
hex482470

4727920 has 40 divisors (see below), whose sum is σ = 11110896. Its totient is φ = 1870848.

The previous prime is 4727881. The next prime is 4727939. The reversal of 4727920 is 297274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8779 + ... + 9301.

Almost surely, 24727920 is an apocalyptic number.

4727920 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 4727920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555448).

4727920 is an abundant number, since it is smaller than the sum of its proper divisors (6382976).

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

4727920 is a wasteful number, since it uses less digits than its factorization.

4727920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 4727920 is about 2174.3780720013. The cubic root of 4727920 is about 167.8379010904.

Adding to 4727920 its product of nonzero digits (7056), we get a square (4734976 = 21762).

The spelling of 4727920 in words is "four million, seven hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 523 565 904 1046 1130 1808 2092 2260 2615 4184 4520 5230 8368 9040 10460 20920 41840 59099 118198 236396 295495 472792 590990 945584 1181980 2363960 4727920