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20175040 = 26567941
BaseRepresentation
bin100110011110…
…1100011000000
31101221222221201
41030331203000
520131100130
62000230544
7333325234
oct114754300
941858851
1020175040
111042a896
12690b454
134244cc2
1429725c4
151b87bca
hex133d8c0

20175040 has 56 divisors (see below), whose sum is σ = 48810672. Its totient is φ = 7941120.

The previous prime is 20175037. The next prime is 20175049. The reversal of 20175040 is 4057102.

It is a junction number, because it is equal to n+sod(n) for n = 20174999 and 20175017.

It is not an unprimeable number, because it can be changed into a prime (20175049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20970 + ... + 21910.

Almost surely, 220175040 is an apocalyptic number.

20175040 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 20175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405336).

20175040 is an abundant number, since it is smaller than the sum of its proper divisors (28635632).

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

20175040 is an equidigital number, since it uses as much as digits as its factorization.

20175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20175040 is about 4491.6633889908. The cubic root of 20175040 is about 272.2313487307.

The spelling of 20175040 in words is "twenty million, one hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 941 1072 1340 1882 2144 2680 3764 4288 4705 5360 7528 9410 10720 15056 18820 21440 30112 37640 60224 63047 75280 126094 150560 252188 301120 315235 504376 630470 1008752 1260940 2017504 2521880 4035008 5043760 10087520 20175040