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166132120 = 23571153939
BaseRepresentation
bin10011110011011…
…11100110011000
3102120121101102111
421321233212120
5320012211440
624252442104
74055046130
oct1171574630
9376541374
10166132120
1185860580
1247779334
132855993b
14180c7ac0
15e8b94ea
hex9e6f998

166132120 has 64 divisors (see below), whose sum is σ = 466041600. Its totient is φ = 51780480.

The previous prime is 166132081. The next prime is 166132121. The reversal of 166132120 is 21231661.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 166132091 and 166132100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166132121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23890 + ... + 30049.

It is an arithmetic number, because the mean of its divisors is an integer number (7281900).

Almost surely, 2166132120 is an apocalyptic number.

166132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166132120 is an abundant number, since it is smaller than the sum of its proper divisors (299909480).

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

166132120 is a wasteful number, since it uses less digits than its factorization.

166132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53968 (or 53964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 166132120 is about 12889.2249573045. The cubic root of 166132120 is about 549.7322332957.

Adding to 166132120 its reverse (21231661), we get a palindrome (187363781).

The spelling of 166132120 in words is "one hundred sixty-six million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 53939 107878 215756 269695 377573 431512 539390 593329 755146 1078780 1186658 1510292 1887865 2157560 2373316 2966645 3020584 3775730 4153303 4746632 5933290 7551460 8306606 11866580 15102920 16613212 20766515 23733160 33226424 41533030 83066060 166132120