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162061136 = 24171374349
BaseRepresentation
bin10011010100011…
…01101101010000
3102021221120002022
421222031231100
5312441424021
624025311012
74005332306
oct1152155520
9367846068
10162061136
118352aa26
1246335468
1327762983
1417748276
15e3631ab
hex9a8db50

162061136 has 40 divisors (see below), whose sum is σ = 334967400. Its totient is φ = 75689984.

The previous prime is 162061117. The next prime is 162061157. The reversal of 162061136 is 631160261.

It can be written as a sum of positive squares in 4 ways, for example, as 11262736 + 150798400 = 3356^2 + 12280^2 .

It is a super-2 number, since 2×1620611362 = 52527623603220992, which contains 22 as substring.

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, 35090 + ... + 39438.

It is an arithmetic number, because the mean of its divisors is an integer number (8374185).

Almost surely, 2162061136 is an apocalyptic number.

162061136 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 162061136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167483700).

162061136 is an abundant number, since it is smaller than the sum of its proper divisors (172906264).

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

162061136 is a wasteful number, since it uses less digits than its factorization.

162061136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4505 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 162061136 is about 12730.3234837140. The cubic root of 162061136 is about 545.2047442156.

The spelling of 162061136 in words is "one hundred sixty-two million, sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 137 272 274 548 1096 2192 2329 4349 4658 8698 9316 17396 18632 34792 37264 69584 73933 147866 295732 591464 595813 1182928 1191626 2383252 4766504 9533008 10128821 20257642 40515284 81030568 162061136