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4215920 = 245151349
BaseRepresentation
bin10000000101010001110000
321221012011012
4100011101300
52034402140
6230210052
750556212
oct20052160
97835135
104215920
11241a535
1214b3928
13b47c37
147ba5b2
15584265
hex405470

4215920 has 40 divisors (see below), whose sum is σ = 9895200. Its totient is φ = 1670400.

The previous prime is 4215919. The next prime is 4215941. The reversal of 4215920 is 295124.

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, 11906 + ... + 12254.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 24215920 is an apocalyptic number.

4215920 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 4215920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947600).

4215920 is an abundant number, since it is smaller than the sum of its proper divisors (5679280).

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

4215920 is a wasteful number, since it uses less digits than its factorization.

4215920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4215920 is about 2053.2705618111. The cubic root of 4215920 is about 161.5464630027.

The spelling of 4215920 in words is "four million, two hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 349 604 698 755 1208 1396 1510 1745 2416 2792 3020 3490 5584 6040 6980 12080 13960 27920 52699 105398 210796 263495 421592 526990 843184 1053980 2107960 4215920