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1997589168 = 243319212809
BaseRepresentation
bin111011100010000…
…1100101010110000
312011012211001012000
41313010030222300
513042340323133
6530115134000
7100334141061
oct16704145260
95135731160
101997589168
11935650343
12478ba4300
1325ab11c33
1414d42c568
15ba588413
hex7710cab0

1997589168 has 120 divisors (see below), whose sum is σ = 6051956400. Its totient is φ = 630768384.

The previous prime is 1997589161. The next prime is 1997589197. The reversal of 1997589168 is 8619857991.

It is a super-2 number, since 2×19975891682 = 7980724968221864448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1997589161) 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, 149548 + ... + 162356.

It is an arithmetic number, because the mean of its divisors is an integer number (50432970).

Almost surely, 21997589168 is an apocalyptic number.

1997589168 is a gapful number since it is divisible by the number (18) 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 1997589168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025978200).

1997589168 is an abundant number, since it is smaller than the sum of its proper divisors (4054367232).

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

1997589168 is a wasteful number, since it uses less digits than its factorization.

1997589168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12864 (or 12833 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 63.

The square root of 1997589168 is about 44694.3975012529. The cubic root of 1997589168 is about 1259.4146033500.

The spelling of 1997589168 in words is "one billion, nine hundred ninety-seven million, five hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 361 432 456 513 684 722 912 1026 1083 1368 1444 2052 2166 2736 2888 3249 4104 4332 5776 6498 8208 8664 9747 12809 12996 17328 19494 25618 25992 38427 38988 51236 51984 76854 77976 102472 115281 153708 155952 204944 230562 243371 307416 345843 461124 486742 614832 691686 730113 922248 973484 1383372 1460226 1844496 1946968 2190339 2766744 2920452 3893936 4380678 4624049 5533488 5840904 6571017 8761356 9248098 11681808 13142034 13872147 17522712 18496196 26284068 27744294 35045424 36992392 41616441 52568136 55488588 73984784 83232882 105136272 110977176 124849323 166465764 221954352 249698646 332931528 499397292 665863056 998794584 1997589168