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165144040 = 2354128601
BaseRepresentation
bin10011101011111…
…10010111101000
3102111202012000221
421311332113220
5314234102130
624215335424
74043462335
oct1165762750
9374665027
10165144040
1185246186
1247381574
13282a1c89
1417d0b98c
15e77187a
hex9d7e5e8

165144040 has 16 divisors (see below), whose sum is σ = 371574180. Its totient is φ = 66057600.

The previous prime is 165144017. The next prime is 165144043. The reversal of 165144040 is 40441561.

165144040 is digitally balanced in base 3, 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 2 ways, for example, as 158206084 + 6937956 = 12578^2 + 2634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 165143996 and 165144014.

It is not an unprimeable number, because it can be changed into a prime (165144043) 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 3 ways as a sum of consecutive naturals, for example, 2064261 + ... + 2064340.

Almost surely, 2165144040 is an apocalyptic number.

165144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165144040 is an abundant number, since it is smaller than the sum of its proper divisors (206430140).

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

165144040 is a wasteful number, since it uses less digits than its factorization.

165144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128612 (or 4128608 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 165144040 is about 12850.8381049642. The cubic root of 165144040 is about 548.6402111536.

The spelling of 165144040 in words is "one hundred sixty-five million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 4128601 8257202 16514404 20643005 33028808 41286010 82572020 165144040