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168517104 = 2437539463
BaseRepresentation
bin10100000101101…
…01110111110000
3102202002120000020
422002311313300
5321120021404
624415523440
74114241340
oct1202656760
9382076006
10168517104
118713a438
1248529580
1328bb3382
1418548d20
15ebdaed9
hexa0b5df0

168517104 has 80 divisors (see below), whose sum is σ = 506967552. Its totient is φ = 47234304.

The previous prime is 168517091. The next prime is 168517109. The reversal of 168517104 is 401715861.

It is a happy number.

168517104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168517109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13077 + ... + 22539.

Almost surely, 2168517104 is an apocalyptic number.

168517104 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 168517104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

168517104 is an abundant number, since it is smaller than the sum of its proper divisors (338450448).

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

168517104 is a wasteful number, since it uses less digits than its factorization.

168517104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9534 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 168517104 is about 12981.4137904929. The cubic root of 168517104 is about 552.3503866578.

The spelling of 168517104 in words is "one hundred sixty-eight million, five hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 8904 9463 17808 18926 28389 37852 56778 66241 75704 113556 132482 151408 198723 227112 264964 397446 454224 501539 529928 794892 1003078 1059856 1504617 1589784 2006156 3009234 3179568 3510773 4012312 6018468 7021546 8024624 10532319 12036936 14043092 21064638 24073872 28086184 42129276 56172368 84258552 168517104