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20055040 = 21053917
BaseRepresentation
bin100110010000…
…0010000000000
31101201220100021
41030200100000
520113230130
61553503224
7332315335
oct114402000
941656307
1020055040
1110358715
126871b14
1342024b5
14294098c
151b6237a
hex1320400

20055040 has 44 divisors (see below), whose sum is σ = 48120876. Its totient is φ = 8019968.

The previous prime is 20055017. The next prime is 20055083. The reversal of 20055040 is 4055002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11943936 + 8111104 = 3456^2 + 2848^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 3162 + ... + 7078.

Almost surely, 220055040 is an apocalyptic number.

20055040 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 20055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060438).

20055040 is an abundant number, since it is smaller than the sum of its proper divisors (28065836).

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

20055040 is an equidigital number, since it uses as much as digits as its factorization.

20055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 20055040 is about 4478.2853861718. The cubic root of 20055040 is about 271.6905361657.

The spelling of 20055040 in words is "twenty million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3917 5120 7834 15668 19585 31336 39170 62672 78340 125344 156680 250688 313360 501376 626720 1002752 1253440 2005504 2506880 4011008 5013760 10027520 20055040