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166050540 = 2233561712
BaseRepresentation
bin10011110010110…
…11101011101100
3102120110020112000
421321123223230
5320002104130
624251012300
74054256235
oct1171335354
9376406460
10166050540
1185805257
124773a090
132852b776
14180a608c
15e8a0260
hex9e5baec

166050540 has 144 divisors (see below), whose sum is σ = 532570080. Its totient is φ = 42940800.

The previous prime is 166050529. The next prime is 166050541. The reversal of 166050540 is 45050661.

It is a happy number.

166050540 is a `hidden beast` number, since 1 + 6 + 605 + 0 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166050541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338705 + ... + 2338775.

Almost surely, 2166050540 is an apocalyptic number.

166050540 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 166050540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266285040).

166050540 is an abundant number, since it is smaller than the sum of its proper divisors (366519540).

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

166050540 is a wasteful number, since it uses less digits than its factorization.

166050540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 166050540 is about 12886.0599098406. The cubic root of 166050540 is about 549.6422356512.

The spelling of 166050540 in words is "one hundred sixty-six million, fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 71 90 108 122 135 142 180 183 213 244 270 284 305 355 366 426 540 549 610 639 710 732 852 915 1065 1098 1220 1278 1420 1647 1830 1917 2130 2196 2556 2745 3195 3294 3660 3834 4260 4331 5041 5490 6390 6588 7668 8235 8662 9585 10082 10980 12780 12993 15123 16470 17324 19170 20164 21655 25205 25986 30246 32940 38340 38979 43310 45369 50410 51972 60492 64965 75615 77958 86620 90738 100820 116937 129930 136107 151230 155916 181476 194895 226845 233874 259860 272214 302460 307501 389790 453690 467748 544428 584685 615002 680535 779580 907380 922503 1169370 1230004 1361070 1537505 1845006 2338740 2722140 2767509 3075010 3690012 4612515 5535018 6150020 8302527 9225030 11070036 13837545 16605054 18450060 27675090 33210108 41512635 55350180 83025270 166050540