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2055086800 = 2452132317183
BaseRepresentation
bin111101001111110…
…0010001011010000
312022020000020002221
41322133202023100
513202100234200
6535531350424
7101632643464
oct17237421320
95266006087
102055086800
11965052148
124942b2414
132699c3bc0
14156d184a4
15c064491a
hex7a7e22d0

2055086800 has 120 divisors (see below), whose sum is σ = 5548644864. Its totient is φ = 725767680.

The previous prime is 2055086753. The next prime is 2055086801. The reversal of 2055086800 is 86805502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055086801) 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, 111009 + ... + 128191.

Almost surely, 22055086800 is an apocalyptic number.

2055086800 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 2055086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774322432).

2055086800 is an abundant number, since it is smaller than the sum of its proper divisors (3493558064).

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

2055086800 is a wasteful number, since it uses less digits than its factorization.

2055086800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17237 (or 17226 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 2055086800 is about 45333.0651952854. The cubic root of 2055086800 is about 1271.3839461075.

The spelling of 2055086800 in words is "two billion, fifty-five million, eighty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 130 184 200 208 230 260 299 325 368 400 460 520 575 598 650 920 1040 1150 1196 1300 1495 1840 2300 2392 2600 2990 4600 4784 5200 5980 7475 9200 11960 14950 17183 23920 29900 34366 59800 68732 85915 119600 137464 171830 223379 274928 343660 395209 429575 446758 687320 790418 859150 893516 1116895 1374640 1580836 1718300 1787032 1976045 2233790 3161672 3436600 3574064 3952090 4467580 5137717 5584475 6323344 6873200 7904180 8935160 9880225 10275434 11168950 15808360 17870320 19760450 20550868 22337900 25688585 31616720 39520900 41101736 44675800 51377170 79041800 82203472 89351600 102754340 128442925 158083600 205508680 256885850 411017360 513771700 1027543400 2055086800