Search a number
-
+
162129420 = 22325900719
BaseRepresentation
bin10011010100111…
…10011000001100
3102022002000202100
421222132120030
5313001120140
624030555100
74006035345
oct1152363014
9368060670
10162129420
1183577262
1246368a90
1327787a8b
14177650cc
15e378530
hex9a9e60c

162129420 has 36 divisors (see below), whose sum is σ = 491793120. Its totient is φ = 43234464.

The previous prime is 162129397. The next prime is 162129421. The reversal of 162129420 is 24921261.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (162129421) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 450180 + ... + 450539.

It is an arithmetic number, because the mean of its divisors is an integer number (13660920).

Almost surely, 2162129420 is an apocalyptic number.

162129420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162129420 is an abundant number, since it is smaller than the sum of its proper divisors (329663700).

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

162129420 is a wasteful number, since it uses less digits than its factorization.

162129420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900734 (or 900729 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 162129420 is about 12733.0051441127. The cubic root of 162129420 is about 545.2813069543.

The spelling of 162129420 in words is "one hundred sixty-two million, one hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 900719 1801438 2702157 3602876 4503595 5404314 8106471 9007190 10808628 13510785 16212942 18014380 27021570 32425884 40532355 54043140 81064710 162129420