Search a number
-
+
166140820 = 22543613167
BaseRepresentation
bin10011110011100…
…01101110010100
3102120121211100201
421321301232110
5320013001240
624252550244
74055113366
oct1171615624
9376554321
10166140820
118586706a
1247782384
13285608a1
14180cad36
15e8bbd9a
hex9e71b94

166140820 has 48 divisors (see below), whose sum is σ = 362976768. Its totient is φ = 63826560.

The previous prime is 166140791. The next prime is 166140823. The reversal of 166140820 is 28041661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166140823) 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, 50877 + ... + 54043.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2166140820 is an apocalyptic number.

166140820 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 166140820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181488384).

166140820 is an abundant number, since it is smaller than the sum of its proper divisors (196835948).

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

166140820 is a wasteful number, since it uses less digits than its factorization.

166140820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 166140820 is about 12889.5624440863. The cubic root of 166140820 is about 549.7418292465.

The spelling of 166140820 in words is "one hundred sixty-six million, one hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1220 2623 3167 5246 6334 10492 12668 13115 15835 26230 31670 52460 63340 136181 193187 272362 386374 544724 680905 772748 965935 1361810 1931870 2723620 3863740 8307041 16614082 33228164 41535205 83070410 166140820