Search a number
-
+
20142132 = 2234771503
BaseRepresentation
bin100110011010…
…1100000110100
31101220022210220
41030311200310
520124022012
61555414340
7333130263
oct114654064
941808726
1020142132
111040809a
1268b43b0
13423302a
1429645da
151b7d08c
hex1335834

20142132 has 48 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 6465760.

The previous prime is 20142131. The next prime is 20142163. The reversal of 20142132 is 23124102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39793 + ... + 40295.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064).

Almost surely, 220142132 is an apocalyptic number.

It is an amenable number.

20142132 is an abundant number, since it is smaller than the sum of its proper divisors (28628940).

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

20142132 is a wasteful number, since it uses less digits than its factorization.

20142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 20142132 is about 4487.9986631014. The cubic root of 20142132 is about 272.0832537827.

Adding to 20142132 its reverse (23124102), we get a palindrome (43266234).

The spelling of 20142132 in words is "twenty million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 71 94 141 142 188 213 282 284 426 503 564 852 1006 1509 2012 3018 3337 6036 6674 10011 13348 20022 23641 35713 40044 47282 70923 71426 94564 107139 141846 142852 214278 283692 428556 1678511 3357022 5035533 6714044 10071066 20142132