Search a number
-
+
166122540 = 223251098467
BaseRepresentation
bin10011110011011…
…01010000101100
3102120120220021200
421321231100230
5320011410130
624252325500
74055006163
oct1171552054
9376526250
10166122540
1185854361
1247773890
132855547c
14180c43da
15e8b6760
hex9e6d42c

166122540 has 72 divisors (see below), whose sum is σ = 508588080. Its totient is φ = 43887744.

The previous prime is 166122497. The next prime is 166122557. The reversal of 166122540 is 45221661.

166122540 is a `hidden beast` number, since 1 + 6 + 612 + 2 + 5 + 40 = 666.

166122540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15387 + ... + 23853.

Almost surely, 2166122540 is an apocalyptic number.

166122540 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 166122540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254294040).

166122540 is an abundant number, since it is smaller than the sum of its proper divisors (342465540).

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

166122540 is a wasteful number, since it uses less digits than its factorization.

166122540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591 (or 8586 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 166122540 is about 12888.8533237057. The cubic root of 166122540 is about 549.7216663324.

The spelling of 166122540 in words is "one hundred sixty-six million, one hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 8467 9810 16934 19620 25401 33868 42335 50802 76203 84670 101604 127005 152406 169340 254010 304812 381015 508020 762030 922903 1524060 1845806 2768709 3691612 4614515 5537418 8306127 9229030 11074836 13843545 16612254 18458060 27687090 33224508 41530635 55374180 83061270 166122540