Search a number
-
+
165505104 = 24321149341
BaseRepresentation
bin10011101110101…
…10100001010000
3102112102112022200
421313112201100
5314332130404
624231203200
74046525112
oct1167264120
9375375280
10165505104
1185472486
1247516500
132839a41b
1417da33b2
15e7e3839
hex9dd6850

165505104 has 30 divisors (see below), whose sum is σ = 463184826. Its totient is φ = 55168320.

The previous prime is 165505099. The next prime is 165505127. The reversal of 165505104 is 401505561.

It is a happy number.

165505104 is a `hidden beast` number, since 1 + 6 + 550 + 5 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157552704 + 7952400 = 12552^2 + 2820^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574527 + ... + 574814.

Almost surely, 2165505104 is an apocalyptic number.

It is an amenable number.

165505104 is an abundant number, since it is smaller than the sum of its proper divisors (297679722).

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

165505104 is a wasteful number, since it uses less digits than its factorization.

165505104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149355 (or 1149346 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 165505104 is about 12864.8787013326. The cubic root of 165505104 is about 549.0397614209.

The spelling of 165505104 in words is "one hundred sixty-five million, five hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1149341 2298682 3448023 4597364 6896046 9194728 10344069 13792092 18389456 20688138 27584184 41376276 55168368 82752552 165505104