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4281920 = 26513381
BaseRepresentation
bin10000010101011001000000
322001112200122
4100111121000
52044010140
6231435412
751252506
oct20253100
98045618
104281920
112465085
121525b68
13b6bca6
147d6676
15598ab5
hex415640

4281920 has 28 divisors (see below), whose sum is σ = 10197084. Its totient is φ = 1712640.

The previous prime is 4281913. The next prime is 4281931. The reversal of 4281920 is 291824.

It can be written as a sum of positive squares in 2 ways, for example, as 984064 + 3297856 = 992^2 + 1816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4281920.

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 3 ways as a sum of consecutive naturals, for example, 6371 + ... + 7010.

Almost surely, 24281920 is an apocalyptic number.

4281920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4281920 is an abundant number, since it is smaller than the sum of its proper divisors (5915164).

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

4281920 is a wasteful number, since it uses less digits than its factorization.

4281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13398 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 4281920 is about 2069.2800680430. The cubic root of 4281920 is about 162.3851022111.

The spelling of 4281920 in words is "four million, two hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 13381 26762 53524 66905 107048 133810 214096 267620 428192 535240 856384 1070480 2140960 4281920