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197159040 = 27325132633
BaseRepresentation
bin10111100000001…
…10100010000000
3111201222201100200
423300012202000
5400433042130
631321445200
74612552461
oct1360064200
9451881320
10197159040
11a1322561
1256040800
1331b01170
141c282d68
1512497760
hexbc06880

197159040 has 192 divisors, whose sum is σ = 733463640. Its totient is φ = 48513024.

The previous prime is 197158981. The next prime is 197159041. The reversal of 197159040 is 40951791.

197159040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 87160896 + 109998144 = 9336^2 + 10488^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 197158986 and 197159004.

It is not an unprimeable number, because it can be changed into a prime (197159041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73564 + ... + 76196.

Almost surely, 2197159040 is an apocalyptic number.

197159040 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 197159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366731820).

197159040 is an abundant number, since it is smaller than the sum of its proper divisors (536304600).

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

197159040 is a wasteful number, since it uses less digits than its factorization.

197159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 197159040 is about 14041.3332700282. Note that the first 3 decimals coincide. The cubic root of 197159040 is about 582.0213263167.

The spelling of 197159040 in words is "one hundred ninety-seven million, one hundred fifty-nine thousand, forty".