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4227520 = 265111201
BaseRepresentation
bin10000001000000111000000
321221210001211
4100020013000
52040240040
6230335504
750635063
oct20100700
97853054
104227520
112428220
1214ba594
13b502bb
147c08da
155878ea
hex4081c0

4227520 has 56 divisors (see below), whose sum is σ = 10991088. Its totient is φ = 1536000.

The previous prime is 4227511. The next prime is 4227521. The reversal of 4227520 is 257224.

4227520 = T331 + T332 + ... + T394.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 42 + 26 + 215 + 73 + 52 + 222 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4227491 and 4227500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2920 + ... + 4120.

Almost surely, 24227520 is an apocalyptic number.

4227520 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 4227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495544).

4227520 is an abundant number, since it is smaller than the sum of its proper divisors (6763568).

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

4227520 is a wasteful number, since it uses less digits than its factorization.

4227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 4227520 is about 2056.0933830933. The cubic root of 4227520 is about 161.6944910246.

The spelling of 4227520 in words is "four million, two hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1201 1760 2402 3520 4804 6005 9608 12010 13211 19216 24020 26422 38432 48040 52844 66055 76864 96080 105688 132110 192160 211376 264220 384320 422752 528440 845504 1056880 2113760 4227520