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165065056 = 2513463857
BaseRepresentation
bin10011101011010…
…11000101100000
3102111121011200121
421311223011200
5314224040211
624213530024
74043013142
oct1165530540
9374534617
10165065056
11851a1902
1247343914
1328275040
1417ccac92
15e758271
hex9d6b160

165065056 has 48 divisors (see below), whose sum is σ = 351134784. Its totient is φ = 75930624.

The previous prime is 165065039. The next prime is 165065059. The reversal of 165065056 is 650560561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165065059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 192180 + ... + 193036.

It is an arithmetic number, because the mean of its divisors is an integer number (7315308).

Almost surely, 2165065056 is an apocalyptic number.

165065056 is a gapful number since it is divisible by the number (16) 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 165065056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175567392).

165065056 is an abundant number, since it is smaller than the sum of its proper divisors (186069728).

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

165065056 is a wasteful number, since it uses less digits than its factorization.

165065056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 165065056 is about 12847.7646304717. The cubic root of 165065056 is about 548.5527305341.

The spelling of 165065056 in words is "one hundred sixty-five million, sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 463 857 926 1714 1852 3428 3704 6019 6856 7408 11141 12038 13712 14816 22282 24076 27424 44564 48152 89128 96304 178256 192608 356512 396791 793582 1587164 3174328 5158283 6348656 10316566 12697312 20633132 41266264 82532528 165065056