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200000080 = 24571918797
BaseRepresentation
bin10111110101111…
…00001001010000
3111221100001112101
423322330021100
5402200000310
631502410144
74645654420
oct1372741120
9457301471
10200000080
11a2993025
1256b90954
1332587357
141c7c2480
151285943a
hexbebc250

200000080 has 80 divisors (see below), whose sum is σ = 559428480. Its totient is φ = 64958976.

The previous prime is 200000069. The next prime is 200000081. The reversal of 200000080 is 80000002.

It is a happy number.

200000080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200000081) 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, 1242 + ... + 20038.

It is an arithmetic number, because the mean of its divisors is an integer number (6992856).

Almost surely, 2200000080 is an apocalyptic number.

200000080 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 200000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279714240).

200000080 is an abundant number, since it is smaller than the sum of its proper divisors (359428400).

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

200000080 is a wasteful number, since it uses less digits than its factorization.

200000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18836 (or 18830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 200000080 is about 14142.1384521578. The cubic root of 200000080 is about 584.8036256164.

Adding to 200000080 its reverse (80000002), we get a palindrome (280000082).

The spelling of 200000080 in words is "two hundred million, eighty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640 18797 37594 75188 93985 131579 150376 187970 263158 300752 357143 375940 526316 657895 714286 751880 1052632 1315790 1428572 1503760 1785715 2105264 2500001 2631580 2857144 3571430 5000002 5263160 5714288 7142860 10000004 10526320 12500005 14285720 20000008 25000010 28571440 40000016 50000020 100000040 200000080