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166269040 = 2457296909
BaseRepresentation
bin10011110100100…
…01000001110000
3102120212100020121
421322101001300
5320031102130
624255420024
74056156250
oct1172210160
9376770217
10166269040
1185944433
1247824614
13285a7062
1418121960
15e8e4d7a
hex9e91070

166269040 has 40 divisors (see below), whose sum is σ = 441802080. Its totient is φ = 57006336.

The previous prime is 166269031. The next prime is 166269049. The reversal of 166269040 is 40962661.

166269040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166269031) and next prime (166269049).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 166268987 and 166269005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166269049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147895 + ... + 149014.

It is an arithmetic number, because the mean of its divisors is an integer number (11045052).

Almost surely, 2166269040 is an apocalyptic number.

166269040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166269040 is an abundant number, since it is smaller than the sum of its proper divisors (275533040).

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

166269040 is a wasteful number, since it uses less digits than its factorization.

166269040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296929 (or 296923 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 166269040 is about 12894.5352766201. The cubic root of 166269040 is about 549.8832148734.

The spelling of 166269040 in words is "one hundred sixty-six million, two hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 296909 593818 1187636 1484545 2078363 2375272 2969090 4156726 4750544 5938180 8313452 10391815 11876360 16626904 20783630 23752720 33253808 41567260 83134520 166269040