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197996064 = 25374859
BaseRepresentation
bin10111100110100…
…10111000100000
3111210120020112120
423303102320200
5401141333224
631351424240
74622640000
oct1363227040
9453506476
10197996064
11a1844412
1256385080
1332035146
141c420000
15125b0779
hexbcd2e20

197996064 has 120 divisors (see below), whose sum is σ = 607032720. Its totient is φ = 56504448.

The previous prime is 197996047. The next prime is 197996089. The reversal of 197996064 is 460699791.

It is a junction number, because it is equal to n+sod(n) for n = 197995998 and 197996016.

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 19 ways as a sum of consecutive naturals, for example, 230067 + ... + 230925.

It is an arithmetic number, because the mean of its divisors is an integer number (5058606).

Almost surely, 2197996064 is an apocalyptic number.

197996064 is a gapful number since it is divisible by the number (14) 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 197996064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303516360).

197996064 is an abundant number, since it is smaller than the sum of its proper divisors (409036656).

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

197996064 is an frugal number, since it uses more digits than its factorization.

197996064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 197996064 is about 14071.1074191053. The cubic root of 197996064 is about 582.8438061978.

The spelling of 197996064 in words is "one hundred ninety-seven million, nine hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 859 1029 1176 1372 1568 1718 2058 2352 2401 2577 2744 3436 4116 4704 4802 5154 5488 6013 6872 7203 8232 9604 10308 10976 12026 13744 14406 16464 18039 19208 20616 24052 27488 28812 32928 36078 38416 41232 42091 48104 57624 72156 76832 82464 84182 96208 115248 126273 144312 168364 192416 230496 252546 288624 294637 336728 505092 577248 589274 673456 883911 1010184 1178548 1346912 1767822 2020368 2062459 2357096 3535644 4040736 4124918 4714192 6187377 7071288 8249836 9428384 12374754 14142576 16499672 24749508 28285152 32999344 49499016 65998688 98998032 197996064