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4122880 = 2853221
BaseRepresentation
bin1111101110100100000000
321202110112021
433232210000
52023413010
6224211224
750021026
oct17564400
97673467
104122880
112366643
121469b14
13b14798
14794716
155668da
hex3ee900

4122880 has 36 divisors (see below), whose sum is σ = 9878652. Its totient is φ = 1648640.

The previous prime is 4122863. The next prime is 4122893. The reversal of 4122880 is 882214.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 1763584 = 1536^2 + 1328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331 + ... + 2890.

It is an arithmetic number, because the mean of its divisors is an integer number (274407).

Almost surely, 24122880 is an apocalyptic number.

4122880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122880 is an abundant number, since it is smaller than the sum of its proper divisors (5755772).

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

4122880 is an equidigital number, since it uses as much as digits as its factorization.

4122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 4122880 is about 2030.4876261627. The cubic root of 4122880 is about 160.3492371542.

The spelling of 4122880 in words is "four million, one hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 3221 6442 12884 16105 25768 32210 51536 64420 103072 128840 206144 257680 412288 515360 824576 1030720 2061440 4122880