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166052180 = 225722353139
BaseRepresentation
bin10011110010111…
…00000101010100
3102120110022202202
421321130011110
5320002132210
624251024032
74054264100
oct1171340524
9376408682
10166052180
1185806508
124773b018
132852c438
14180a6900
15e8a09a5
hex9e5c154

166052180 has 144 divisors (see below), whose sum is σ = 434367360. Its totient is φ = 53044992.

The previous prime is 166052177. The next prime is 166052221. The reversal of 166052180 is 81250661.

It is a happy number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1194551 + ... + 1194689.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2166052180 is an apocalyptic number.

166052180 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 166052180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

166052180 is an abundant number, since it is smaller than the sum of its proper divisors (268315180).

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

166052180 is a wasteful number, since it uses less digits than its factorization.

166052180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 166052180 is about 12886.1235443402. The cubic root of 166052180 is about 549.6440451612.

The spelling of 166052180 in words is "one hundred sixty-six million, fifty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 53 70 92 98 106 115 139 140 161 196 212 230 245 265 278 322 371 460 490 530 556 644 695 742 805 973 980 1060 1127 1219 1390 1484 1610 1855 1946 2254 2438 2597 2780 3197 3220 3710 3892 4508 4865 4876 5194 5635 6095 6394 6811 7367 7420 8533 9730 10388 11270 12190 12788 12985 13622 14734 15985 17066 19460 22379 22540 24380 25970 27244 29468 31970 34055 34132 36835 42665 44758 51569 51940 59731 63940 68110 73670 85330 89516 103138 111895 119462 136220 147340 156653 169441 170660 206276 223790 238924 257845 298655 313306 338882 360983 447580 515690 597310 626612 677764 721966 783265 847205 1031380 1186087 1194620 1443932 1566530 1694410 1804915 2372174 3133060 3388820 3609830 4744348 5930435 7219660 8302609 11860870 16605218 23721740 33210436 41513045 83026090 166052180