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196089120 = 25335192389
BaseRepresentation
bin10111011000000…
…01010100100000
3111122222100201000
423230001110200
5400144322440
631242512000
74600505253
oct1354012440
9448870630
10196089120
11a0761727
1255805600
1331818186
141c08509a
1512335730
hexbb01520

196089120 has 192 divisors, whose sum is σ = 722736000. Its totient is φ = 49517568.

The previous prime is 196089119. The next prime is 196089133. The reversal of 196089120 is 21980691.

196089120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80886 + ... + 83274.

It is an arithmetic number, because the mean of its divisors is an integer number (3764250).

Almost surely, 2196089120 is an apocalyptic number.

196089120 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 196089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361368000).

196089120 is an abundant number, since it is smaller than the sum of its proper divisors (526646880).

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

196089120 is a wasteful number, since it uses less digits than its factorization.

196089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 196089120 is about 14003.1824954187. The cubic root of 196089120 is about 580.9666006595.

The spelling of 196089120 in words is "one hundred ninety-six million, eighty-nine thousand, one hundred twenty".