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165089664 = 273415923
BaseRepresentation
bin10011101011100…
…01000110000000
3102111122102110000
421311301012000
5314230332124
624214240000
74043144655
oct1165610600
9374572400
10165089664
1185209343
1247356000
13282832bc
1417cd5c2c
15e7606c9
hex9d71180

165089664 has 80 divisors (see below), whose sum is σ = 491335020. Its totient is φ = 55026432.

The previous prime is 165089633. The next prime is 165089681. The reversal of 165089664 is 466980561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2407 + ... + 18329.

Almost surely, 2165089664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245667510).

165089664 is an abundant number, since it is smaller than the sum of its proper divisors (326245356).

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

165089664 is an equidigital number, since it uses as much as digits as its factorization.

165089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 165089664 is about 12848.7222711054. The cubic root of 165089664 is about 548.5799887057.

The spelling of 165089664 in words is "one hundred sixty-five million, eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 15923 31846 47769 63692 95538 127384 143307 191076 254768 286614 382152 429921 509536 573228 764304 859842 1019072 1146456 1289763 1528608 1719684 2038144 2292912 2579526 3057216 3439368 4585824 5159052 6114432 6878736 9171648 10318104 13757472 18343296 20636208 27514944 41272416 55029888 82544832 165089664