Search a number
-
+
162161550 = 232521732083
BaseRepresentation
bin10011010101001…
…10001110001110
3102022010122211100
421222212032032
5313003132200
624031403530
74006231125
oct1152461616
9368118740
10162161550
1183599411
12463835a6
13277995a5
1417772abc
15e382d00
hex9aa638e

162161550 has 72 divisors (see below), whose sum is σ = 438402744. Its totient is φ = 42972480.

The previous prime is 162161443. The next prime is 162161551. The reversal of 162161550 is 55161261.

It is a happy number.

162161550 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162161551) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76809 + ... + 78891.

It is an arithmetic number, because the mean of its divisors is an integer number (6088927).

Almost surely, 2162161550 is an apocalyptic number.

162161550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 162161550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219201372).

162161550 is an abundant number, since it is smaller than the sum of its proper divisors (276241194).

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

162161550 is a wasteful number, since it uses less digits than its factorization.

162161550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 162161550 is about 12734.2667633437. The cubic root of 162161550 is about 545.3173249519.

It can be divided in two parts, 16216 and 1550, that added together give a triangular number (17766 = T188).

The spelling of 162161550 in words is "one hundred sixty-two million, one hundred sixty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 173 225 346 450 519 865 1038 1557 1730 2083 2595 3114 4166 4325 5190 6249 7785 8650 10415 12498 12975 15570 18747 20830 25950 31245 37494 38925 52075 62490 77850 93735 104150 156225 187470 312450 360359 468675 720718 937350 1081077 1801795 2162154 3243231 3603590 5405385 6486462 9008975 10810770 16216155 18017950 27026925 32432310 54053850 81080775 162161550