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162086036 = 227191272399
BaseRepresentation
bin10011010100100…
…11110010010100
3102021222211020112
421222103302110
5312443223121
624030022152
74005465020
oct1152236224
9367884215
10162086036
1183547702
1246347958
13277710c8
1417753380
15e36a75b
hex9a93c94

162086036 has 48 divisors (see below), whose sum is σ = 344064000. Its totient is φ = 65263968.

The previous prime is 162086027. The next prime is 162086069. The reversal of 162086036 is 630680261.

It is a junction number, because it is equal to n+sod(n) for n = 162085993 and 162086011.

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 15 ways as a sum of consecutive naturals, for example, 66365 + ... + 68763.

It is an arithmetic number, because the mean of its divisors is an integer number (7168000).

Almost surely, 2162086036 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 162086036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172032000).

162086036 is an abundant number, since it is smaller than the sum of its proper divisors (181977964).

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

162086036 is a wasteful number, since it uses less digits than its factorization.

162086036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 162086036 is about 12731.3014260130. The cubic root of 162086036 is about 545.2326655775.

The spelling of 162086036 in words is "one hundred sixty-two million, eighty-six thousand, thirty-six".

Divisors: 1 2 4 7 14 19 28 38 76 127 133 254 266 508 532 889 1778 2399 2413 3556 4798 4826 9596 9652 16793 16891 33586 33782 45581 67172 67564 91162 182324 304673 319067 609346 638134 1218692 1276268 2132711 4265422 5788787 8530844 11577574 23155148 40521509 81043018 162086036