Search a number
-
+
162120712 = 23131579929
BaseRepresentation
bin10011010100111…
…00010000001000
3102022001120210211
421222130100020
5313000330322
624030450504
74006001065
oct1152342010
9368046724
10162120712
1183570766
1246363a34
1327783b20
1417761c6c
15e375b77
hex9a9c408

162120712 has 32 divisors (see below), whose sum is σ = 329477400. Its totient is φ = 74340864.

The previous prime is 162120703. The next prime is 162120727. The reversal of 162120712 is 217021261.

It is a happy number.

162120712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70459236 + 91661476 = 8394^2 + 9574^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11364 + ... + 21292.

Almost surely, 2162120712 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 162120712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164738700).

162120712 is an abundant number, since it is smaller than the sum of its proper divisors (167356688).

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

162120712 is a wasteful number, since it uses less digits than its factorization.

162120712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 162120712 is about 12732.6631935350. The cubic root of 162120712 is about 545.2715443942.

Adding to 162120712 its reverse (217021261), we get a palindrome (379141973).

The spelling of 162120712 in words is "one hundred sixty-two million, one hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 157 314 628 1256 2041 4082 8164 9929 16328 19858 39716 79432 129077 258154 516308 1032616 1558853 3117706 6235412 12470824 20265089 40530178 81060356 162120712