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196589120 = 26571343157
BaseRepresentation
bin10111011011110…
…11011001000000
3111200220202120112
423231323121000
5400311322440
631301330452
74604660060
oct1355733100
9450822515
10196589120
11a0a73352
1255a06a28
1331961930
141c1753a0
15123d3965
hexbb7b640

196589120 has 224 divisors, whose sum is σ = 593311488. Its totient is φ = 60383232.

The previous prime is 196589117. The next prime is 196589123. The reversal of 196589120 is 21985691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (196589117) and next prime (196589123).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196589123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252082 + ... + 1252238.

It is an arithmetic number, because the mean of its divisors is an integer number (2648712).

Almost surely, 2196589120 is an apocalyptic number.

196589120 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 196589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296655744).

196589120 is an abundant number, since it is smaller than the sum of its proper divisors (396722368).

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

196589120 is a wasteful number, since it uses less digits than its factorization.

196589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 196589120 is about 14021.0242136586. The cubic root of 196589120 is about 581.4599762433.

The spelling of 196589120 in words is "one hundred ninety-six million, five hundred eighty-nine thousand, one hundred twenty".