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2155520 = 2105421
BaseRepresentation
bin1000001110010000000000
311001111211002
420032100000
51022434040
6114111132
724215213
oct10162000
94044732
102155520
111242524
1287b4a8
135a6173
1440177a
152c8a15
hex20e400

2155520 has 44 divisors (see below), whose sum is σ = 5183004. Its totient is φ = 860160.

The previous prime is 2155519. The next prime is 2155579. The reversal of 2155520 is 255512.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 1893376 = 512^2 + 1376^2 .

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 = 2155492 and 2155501.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4910 + ... + 5330.

22155520 is an apocalyptic number.

2155520 is a gapful number since it is divisible by the number (20) 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 2155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591502).

2155520 is an abundant number, since it is smaller than the sum of its proper divisors (3027484).

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

2155520 is an equidigital number, since it uses as much as digits as its factorization.

2155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 2155520 is about 1468.1689276102. The cubic root of 2155520 is about 129.1766504018.

The spelling of 2155520 in words is "two million, one hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 421 512 640 842 1024 1280 1684 2105 2560 3368 4210 5120 6736 8420 13472 16840 26944 33680 53888 67360 107776 134720 215552 269440 431104 538880 1077760 2155520