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20055780 = 22325671663
BaseRepresentation
bin100110010000…
…0011011100100
31101201221100200
41030200123210
520113241110
61553510500
7332320443
oct114403344
941657320
1020055780
1110359228
126872430
134202934
142940d5a
151b626c0
hex13206e4

20055780 has 72 divisors (see below), whose sum is σ = 61780992. Its totient is φ = 5265216.

The previous prime is 20055769. The next prime is 20055781. The reversal of 20055780 is 8755002.

It is a happy number.

It is a super-2 number, since 2×200557802 = 804468622816800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20055781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11229 + ... + 12891.

Almost surely, 220055780 is an apocalyptic number.

20055780 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 20055780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30890496).

20055780 is an abundant number, since it is smaller than the sum of its proper divisors (41725212).

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

20055780 is a wasteful number, since it uses less digits than its factorization.

20055780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 20055780 is about 4478.3680063166. The cubic root of 20055780 is about 271.6938777784.

The spelling of 20055780 in words is "twenty million, fifty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 1663 2010 2412 3015 3326 4020 4989 6030 6652 8315 9978 12060 14967 16630 19956 24945 29934 33260 49890 59868 74835 99780 111421 149670 222842 299340 334263 445684 557105 668526 1002789 1114210 1337052 1671315 2005578 2228420 3342630 4011156 5013945 6685260 10027890 20055780