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197691120 = 2432511109229
BaseRepresentation
bin10111100100010…
…00011011110000
3111202222202020100
423302020123300
5401102103440
631341112400
74620226644
oct1362103360
9452882210
10197691120
11a16562a0
1256258700
1331c593c3
141c380c24
1512550230
hexbc886f0

197691120 has 240 divisors, whose sum is σ = 734104800. Its totient is φ = 47278080.

The previous prime is 197691107. The next prime is 197691139. The reversal of 197691120 is 21196791.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 863166 + ... + 863394.

It is an arithmetic number, because the mean of its divisors is an integer number (3058770).

Almost surely, 2197691120 is an apocalyptic number.

197691120 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 197691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367052400).

197691120 is an abundant number, since it is smaller than the sum of its proper divisors (536413680).

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

197691120 is a wasteful number, since it uses less digits than its factorization.

197691120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The square root of 197691120 is about 14060.2674227769. The cubic root of 197691120 is about 582.5444297989.

It can be divided in two parts, 1976 and 91120, that added together give a triangular number (93096 = T431).

The spelling of 197691120 in words is "one hundred ninety-seven million, six hundred ninety-one thousand, one hundred twenty".