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197130240 = 2113352331
BaseRepresentation
bin10111011111111…
…11100000000000
3111201221020212000
423233333200000
5400431131430
631321104000
74612402506
oct1357774000
9451836760
10197130240
11a130295a
1256028000
1331ac1018
141c276676
151248de60
hexbbff800

197130240 has 384 divisors, whose sum is σ = 754790400. Its totient is φ = 48660480.

The previous prime is 197130239. The next prime is 197130247. The reversal of 197130240 is 42031791.

197130240 is digitally balanced in base 3, 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197130247) 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, 6359025 + ... + 6359055.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2197130240 is an apocalyptic number.

197130240 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 197130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

197130240 is an abundant number, since it is smaller than the sum of its proper divisors (557660160).

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

197130240 is a wasteful number, since it uses less digits than its factorization.

197130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 197130240 is about 14040.3076889362. The cubic root of 197130240 is about 581.9929853549.

The spelling of 197130240 in words is "one hundred ninety-seven million, one hundred thirty thousand, two hundred forty".