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165528160 = 2557147793
BaseRepresentation
bin10011101110111…
…00001001100000
3102112110200221121
421313130021200
5314333400120
624231502024
74046652250
oct1167341140
9375420847
10165528160
1185488836
1247527914
13283a7a75
1417dab960
15e7ea5aa
hex9ddc260

165528160 has 48 divisors (see below), whose sum is σ = 446929056. Its totient is φ = 56752128.

The previous prime is 165528151. The next prime is 165528191. The reversal of 165528160 is 61825561.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 72777 + ... + 75016.

It is an arithmetic number, because the mean of its divisors is an integer number (9311022).

Almost surely, 2165528160 is an apocalyptic number.

165528160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165528160 is an abundant number, since it is smaller than the sum of its proper divisors (281400896).

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

165528160 is a wasteful number, since it uses less digits than its factorization.

165528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147815 (or 147807 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 165528160 is about 12865.7747531969. The cubic root of 165528160 is about 549.0652552429.

The spelling of 165528160 in words is "one hundred sixty-five million, five hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 147793 295586 591172 738965 1034551 1182344 1477930 2069102 2364688 2955860 4138204 4729376 5172755 5911720 8276408 10345510 11823440 16552816 20691020 23646880 33105632 41382040 82764080 165528160