Search a number
-
+
162102140 = 225173071553
BaseRepresentation
bin10011010100101…
…11101101111100
3102022000122022222
421222113231330
5312444232030
624030224512
74005562664
oct1152275574
9368018288
10162102140
1183558812
1246355138
1327778535
14177591a4
15e3703e5
hex9a97b7c

162102140 has 48 divisors (see below), whose sum is σ = 361845792. Its totient is φ = 60788736.

The previous prime is 162102119. The next prime is 162102169. The reversal of 162102140 is 41201261.

It is a super-3 number, since 3×1621021403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103604 + ... + 105156.

It is an arithmetic number, because the mean of its divisors is an integer number (7538454).

Almost surely, 2162102140 is an apocalyptic number.

162102140 is a gapful number since it is divisible by the number (10) 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 162102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180922896).

162102140 is an abundant number, since it is smaller than the sum of its proper divisors (199743652).

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

162102140 is a wasteful number, since it uses less digits than its factorization.

162102140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 162102140 is about 12731.9338672489. The cubic root of 162102140 is about 545.2507221116.

The spelling of 162102140 in words is "one hundred sixty-two million, one hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 307 340 614 1228 1535 1553 3070 3106 5219 6140 6212 7765 10438 15530 20876 26095 26401 31060 52190 52802 104380 105604 132005 264010 476771 528020 953542 1907084 2383855 4767710 8105107 9535420 16210214 32420428 40525535 81051070 162102140