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166730140 = 22537233967
BaseRepresentation
bin10011111000000…
…01100110011100
3102121201202202101
421330001212130
5320140331030
624313334444
74063116463
oct1174014634
9377652671
10166730140
1186129905
1247a07424
1328708bb5
14182019da
15e9867ca
hex9f0199c

166730140 has 48 divisors (see below), whose sum is σ = 361513152. Its totient is φ = 64544256.

The previous prime is 166730129. The next prime is 166730147. The reversal of 166730140 is 41037661.

It is a junction number, because it is equal to n+sod(n) for n = 166730099 and 166730108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166730147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171937 + ... + 172903.

It is an arithmetic number, because the mean of its divisors is an integer number (7531524).

Almost surely, 2166730140 is an apocalyptic number.

166730140 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 166730140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180756576).

166730140 is an abundant number, since it is smaller than the sum of its proper divisors (194783012).

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

166730140 is a wasteful number, since it uses less digits than its factorization.

166730140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 166730140 is about 12912.4025649760. The cubic root of 166730140 is about 550.3910607253.

The spelling of 166730140 in words is "one hundred sixty-six million, seven hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 233 370 466 740 932 967 1165 1934 2330 3868 4660 4835 8621 9670 17242 19340 34484 35779 43105 71558 86210 143116 172420 178895 225311 357790 450622 715580 901244 1126555 2253110 4506220 8336507 16673014 33346028 41682535 83365070 166730140