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166490730 = 232572191987
BaseRepresentation
bin10011110110001…
…11001001101010
3102121021121100100
421323013021222
5320110200410
624304250230
74061101500
oct1173071152
9377247310
10166490730
1185a85a4a
1247910976
1328653c33
141817c670
15e93a8c0
hex9ec726a

166490730 has 144 divisors (see below), whose sum is σ = 530318880. Its totient is φ = 36033984.

The previous prime is 166490729. The next prime is 166490761. The reversal of 166490730 is 37094661.

166490730 is a `hidden beast` number, since 1 + 6 + 649 + 0 + 7 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82797 + ... + 84783.

It is an arithmetic number, because the mean of its divisors is an integer number (3682770).

Almost surely, 2166490730 is an apocalyptic number.

166490730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166490730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265159440).

166490730 is an abundant number, since it is smaller than the sum of its proper divisors (363828150).

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

166490730 is a wasteful number, since it uses less digits than its factorization.

166490730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 166490730 is about 12903.1286903603. The cubic root of 166490730 is about 550.1274966133.

The spelling of 166490730 in words is "one hundred sixty-six million, four hundred ninety thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1987 1995 2205 2394 2793 3974 3990 4410 4655 5586 5961 5985 8379 9310 9935 11922 11970 13909 13965 16758 17883 19870 27818 27930 29805 35766 37753 41727 41895 59610 69545 75506 83454 83790 89415 97363 113259 125181 139090 178830 188765 194726 208635 226518 250362 264271 292089 339777 377530 417270 486815 528542 566295 584178 625905 679554 792813 876267 973630 1132590 1251810 1321355 1460445 1585626 1698885 1752534 1849897 2378439 2642710 2920890 3397770 3699794 3964065 4381335 4756878 5549691 7928130 8762670 9249485 11099382 11892195 16649073 18498970 23784390 27748455 33298146 55496910 83245365 166490730