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116995200 = 2735271741
BaseRepresentation
bin1101111100100…
…11010010000000
322011010222020120
412332103102000
5214422321300
615335340240
72620304610
oct676232200
9264128216
10116995200
116004a253
1233221680
131b31433a
1411776a40
15a4103a0
hex6f93480

116995200 has 192 divisors, whose sum is σ = 440656320. Its totient is φ = 26726400.

The previous prime is 116995189. The next prime is 116995237. The reversal of 116995200 is 2599611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66330 + ... + 68070.

It is an arithmetic number, because the mean of its divisors is an integer number (2295085).

Almost surely, 2116995200 is an apocalyptic number.

116995200 is a gapful number since it is divisible by the number (10) 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 116995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220328160).

116995200 is an abundant number, since it is smaller than the sum of its proper divisors (323661120).

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

116995200 is a wasteful number, since it uses less digits than its factorization.

116995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 116995200 is about 10816.4319440377. The cubic root of 116995200 is about 489.0906360490.

It can be divided in two parts, 1169 and 95200, that added together give a palindrome (96369).

The spelling of 116995200 in words is "one hundred sixteen million, nine hundred ninety-five thousand, two hundred".