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165506130 = 23251838957
BaseRepresentation
bin10011101110101…
…10110001010010
3102112102120201200
421313112301102
5314332144010
624231212030
74046531106
oct1167266122
9375376650
10165506130
1185473229
1247517016
132839aa2a
1417da3906
15e7e3cc0
hex9dd6c52

165506130 has 24 divisors (see below), whose sum is σ = 430316172. Its totient is φ = 44134944.

The previous prime is 165506119. The next prime is 165506141. The reversal of 165506130 is 31605561.

It is a happy number.

165506130 is a `hidden beast` number, since 1 + 655 + 0 + 6 + 1 + 3 + 0 = 666.

165506130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165506119) and next prime (165506141).

It can be written as a sum of positive squares in 2 ways, for example, as 136118889 + 29387241 = 11667^2 + 5421^2 .

It is a junction number, because it is equal to n+sod(n) for n = 165506094 and 165506103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919389 + ... + 919568.

Almost surely, 2165506130 is an apocalyptic number.

165506130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165506130 is an abundant number, since it is smaller than the sum of its proper divisors (264810042).

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

165506130 is a wasteful number, since it uses less digits than its factorization.

165506130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838970 (or 1838967 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 165506130 is about 12864.9185772783. The cubic root of 165506130 is about 549.0408959552.

The spelling of 165506130 in words is "one hundred sixty-five million, five hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1838957 3677914 5516871 9194785 11033742 16550613 18389570 27584355 33101226 55168710 82753065 165506130