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168853020 = 22357279727
BaseRepresentation
bin10100001000001…
…11111000011100
3102202201121210120
422010013320130
5321211244040
624431034540
74120140600
oct1204077034
9382647716
10168853020
1187349856
124866ba50
1328ca023b
14185d5500
15ec557d0
hexa107e1c

168853020 has 144 divisors (see below), whose sum is σ = 557706240. Its totient is φ = 38054016.

The previous prime is 168853007. The next prime is 168853021. The reversal of 168853020 is 20358861.

It is a happy number.

It is a super-2 number, since 2×1688530202 = 57022684726240800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168853021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231897 + ... + 232623.

It is an arithmetic number, because the mean of its divisors is an integer number (3872960).

Almost surely, 2168853020 is an apocalyptic number.

168853020 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 168853020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278853120).

168853020 is an abundant number, since it is smaller than the sum of its proper divisors (388853220).

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

168853020 is a wasteful number, since it uses less digits than its factorization.

168853020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 168853020 is about 12994.3456934160. The cubic root of 168853020 is about 552.7171549349.

The spelling of 168853020 in words is "one hundred sixty-eight million, eight hundred fifty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 79 84 98 105 140 147 158 196 210 237 245 294 316 395 420 474 490 553 588 727 735 790 948 980 1106 1185 1454 1470 1580 1659 2181 2212 2370 2765 2908 2940 3318 3635 3871 4362 4740 5089 5530 6636 7270 7742 8295 8724 10178 10905 11060 11613 14540 15267 15484 16590 19355 20356 21810 23226 25445 30534 33180 35623 38710 43620 46452 50890 57433 58065 61068 71246 76335 77420 101780 106869 114866 116130 142492 152670 172299 178115 213738 229732 232260 287165 305340 344598 356230 402031 427476 534345 574330 689196 712460 804062 861495 1068690 1148660 1206093 1608124 1722990 2010155 2137380 2412186 2814217 3445980 4020310 4824372 5628434 6030465 8040620 8442651 11256868 12060930 14071085 16885302 24121860 28142170 33770604 42213255 56284340 84426510 168853020