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165153324 = 223721571789
BaseRepresentation
bin10011101100000…
…00101000101100
3102111202122202210
421312000220230
5314234401244
624215450420
74043531400
oct1166005054
9374678683
10165153324
1185252156
1247386a10
13282a627b
1417d11100
15e7744b9
hex9d80a2c

165153324 has 72 divisors (see below), whose sum is σ = 451380720. Its totient is φ = 46859904.

The previous prime is 165153257. The next prime is 165153341. The reversal of 165153324 is 423351561.

It is a junction number, because it is equal to n+sod(n) for n = 165153291 and 165153300.

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 23 ways as a sum of consecutive naturals, for example, 91422 + ... + 93210.

Almost surely, 2165153324 is an apocalyptic number.

165153324 is a gapful number since it is divisible by the number (14) 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 165153324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225690360).

165153324 is an abundant number, since it is smaller than the sum of its proper divisors (286227396).

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

165153324 is a wasteful number, since it uses less digits than its factorization.

165153324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 165153324 is about 12851.1993214641. The cubic root of 165153324 is about 548.6504920378.

The spelling of 165153324 in words is "one hundred sixty-five million, one hundred fifty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 157 196 294 314 471 588 628 942 1099 1789 1884 2198 3297 3578 4396 5367 6594 7156 7693 10734 12523 13188 15386 21468 23079 25046 30772 37569 46158 50092 75138 87661 92316 150276 175322 262983 280873 350644 525966 561746 842619 1051932 1123492 1685238 1966111 3370476 3932222 5898333 7864444 11796666 13762777 23593332 27525554 41288331 55051108 82576662 165153324