Search a number
-
+
4221920 = 25526387
BaseRepresentation
bin10000000110101111100000
321221111101102
4100012233200
52040100140
6230253532
750612543
oct20065740
97844342
104221920
112423a9a
1214b72a8
13b4a8a1
147bc85a
15585e15
hex406be0

4221920 has 24 divisors (see below), whose sum is σ = 9974664. Its totient is φ = 1688704.

The previous prime is 4221913. The next prime is 4221923. The reversal of 4221920 is 291224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4221892 and 4221901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13034 + ... + 13353.

It is an arithmetic number, because the mean of its divisors is an integer number (415611).

Almost surely, 24221920 is an apocalyptic number.

4221920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221920 is an abundant number, since it is smaller than the sum of its proper divisors (5752744).

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

4221920 is a wasteful number, since it uses less digits than its factorization.

4221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26402 (or 26394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4221920 is about 2054.7311259627. The cubic root of 4221920 is about 161.6230630744.

The spelling of 4221920 in words is "four million, two hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26387 52774 105548 131935 211096 263870 422192 527740 844384 1055480 2110960 4221920