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166460140 = 225711195689
BaseRepresentation
bin10011110101111…
…11101011101100
3102121020001101101
421322333223230
5320103211030
624303452444
74060613350
oct1172775354
9377201341
10166460140
1185a64a70
12478b7124
1328643032
1418171460
15e9317ca
hex9ebfaec

166460140 has 96 divisors (see below), whose sum is σ = 458841600. Its totient is φ = 49144320.

The previous prime is 166460071. The next prime is 166460149. The reversal of 166460140 is 41064661.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 166460099 and 166460108.

It is not an unprimeable number, because it can be changed into a prime (166460149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26416 + ... + 32104.

It is an arithmetic number, because the mean of its divisors is an integer number (4779600).

Almost surely, 2166460140 is an apocalyptic number.

166460140 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 166460140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229420800).

166460140 is an abundant number, since it is smaller than the sum of its proper divisors (292381460).

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

166460140 is a wasteful number, since it uses less digits than its factorization.

166460140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5733 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 166460140 is about 12901.9432644854. The cubic root of 166460140 is about 550.0938021830.

The spelling of 166460140 in words is "one hundred sixty-six million, four hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 19 20 22 28 35 38 44 55 70 76 77 95 110 133 140 154 190 209 220 266 308 380 385 418 532 665 770 836 1045 1330 1463 1540 2090 2660 2926 4180 5689 5852 7315 11378 14630 22756 28445 29260 39823 56890 62579 79646 108091 113780 125158 159292 199115 216182 250316 312895 398230 432364 438053 540455 625790 756637 796460 876106 1080910 1189001 1251580 1513274 1752212 2161820 2190265 2378002 3026548 3783185 4380530 4756004 5945005 7566370 8323007 8761060 11890010 15132740 16646014 23780020 33292028 41615035 83230070 166460140