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197665968 = 243191931123
BaseRepresentation
bin10111100100000…
…10010010110000
3111202221110201210
423302002102300
5401100302333
631340400120
74620063423
oct1362022260
9452843653
10197665968
11a1639405
1256246040
1331c4ab16
141c3759ba
1512547a63
hexbc824b0

197665968 has 80 divisors (see below), whose sum is σ = 540778880. Its totient is φ = 62042112.

The previous prime is 197665967. The next prime is 197665981. The reversal of 197665968 is 869566791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (197665967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175455 + ... + 176577.

It is an arithmetic number, because the mean of its divisors is an integer number (6759736).

Almost surely, 2197665968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197665968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270389440).

197665968 is an abundant number, since it is smaller than the sum of its proper divisors (343112912).

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

197665968 is a wasteful number, since it uses less digits than its factorization.

197665968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 57.

The square root of 197665968 is about 14059.3729589907. The cubic root of 197665968 is about 582.5197232787.

The spelling of 197665968 in words is "one hundred ninety-seven million, six hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 193 228 304 386 456 579 772 912 1123 1158 1544 2246 2316 3088 3369 3667 4492 4632 6738 7334 8984 9264 11001 13476 14668 17968 21337 22002 26952 29336 42674 44004 53904 58672 64011 85348 88008 128022 170696 176016 216739 256044 341392 433478 512088 650217 866956 1024176 1300434 1733912 2600868 3467824 4118041 5201736 8236082 10403472 12354123 16472164 24708246 32944328 49416492 65888656 98832984 197665968