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165065490 = 23252298009
BaseRepresentation
bin10011101011010…
…11001100010010
3102111121012021200
421311223030102
5314224043430
624213532030
74043014332
oct1165531422
9374535250
10165065490
11851a2167
1247344016
13282752b5
1417ccb0c2
15e758460
hex9d6b312

165065490 has 48 divisors (see below), whose sum is σ = 431098200. Its totient is φ = 43819776.

The previous prime is 165065489. The next prime is 165065497. The reversal of 165065490 is 94560561.

165065490 is a `hidden beast` number, since 16 + 506 + 54 + 90 = 666.

165065490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 162333081 + 2732409 = 12741^2 + 1653^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165065497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16606 + ... + 24614.

Almost surely, 2165065490 is an apocalyptic number.

165065490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165065490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215549100).

165065490 is an abundant number, since it is smaller than the sum of its proper divisors (266032710).

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

165065490 is a wasteful number, since it uses less digits than its factorization.

165065490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 165065490 is about 12847.7815205583. The cubic root of 165065490 is about 548.5532112975.

The spelling of 165065490 in words is "one hundred sixty-five million, sixty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 229 458 687 1145 1374 2061 2290 3435 4122 6870 8009 10305 16018 20610 24027 40045 48054 72081 80090 120135 144162 240270 360405 720810 1834061 3668122 5502183 9170305 11004366 16506549 18340610 27510915 33013098 55021830 82532745 165065490