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200706880 = 26511193001
BaseRepresentation
bin10111111011010…
…00101101000000
3111222122222002011
423331220231000
5402340110010
631525502304
74654660153
oct1375505500
9458588064
10200706880
11a3326060
1257271994
1332773c8a
141c927c9a
1512948a8a
hexbf68b40

200706880 has 112 divisors (see below), whose sum is σ = 549005760. Its totient is φ = 69120000.

The previous prime is 200706839. The next prime is 200706887. The reversal of 200706880 is 88607002.

200706880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200706887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65380 + ... + 68380.

Almost surely, 2200706880 is an apocalyptic number.

200706880 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 200706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274502880).

200706880 is an abundant number, since it is smaller than the sum of its proper divisors (348298880).

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

200706880 is a wasteful number, since it uses less digits than its factorization.

200706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 200706880 is about 14167.1055618288. The cubic root of 200706880 is about 585.4917140793.

The spelling of 200706880 in words is "two hundred million, seven hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1216 1520 1672 1760 2090 3001 3040 3344 3520 4180 6002 6080 6688 8360 12004 13376 15005 16720 24008 30010 33011 33440 48016 57019 60020 66022 66880 96032 114038 120040 132044 165055 192064 228076 240080 264088 285095 330110 456152 480160 528176 570190 627209 660220 912304 960320 1056352 1140380 1254418 1320440 1824608 2112704 2280760 2508836 2640880 3136045 3649216 4561520 5017672 5281760 6272090 9123040 10035344 10563520 12544180 18246080 20070688 25088360 40141376 50176720 100353440 200706880