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20142072 = 2332279751
BaseRepresentation
bin100110011010…
…1011111111000
31101220022201200
41030311133320
520124021242
61555414200
7333130146
oct114653770
941808650
1020142072
1110408045
1268b4360
134232cb2
142964596
151b7d04c
hex13357f8

20142072 has 24 divisors (see below), whose sum is σ = 54551640. Its totient is φ = 6714000.

The previous prime is 20142053. The next prime is 20142079. The reversal of 20142072 is 27024102.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 139804 + ... + 139947.

It is an arithmetic number, because the mean of its divisors is an integer number (2272985).

Almost surely, 220142072 is an apocalyptic number.

It is an amenable number.

20142072 is an abundant number, since it is smaller than the sum of its proper divisors (34409568).

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

20142072 is a wasteful number, since it uses less digits than its factorization.

20142072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279763 (or 279756 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20142072 is about 4487.9919786025. The cubic root of 20142072 is about 272.0829836191.

Adding to 20142072 its reverse (27024102), we get a palindrome (47166174).

The spelling of 20142072 in words is "twenty million, one hundred forty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 279751 559502 839253 1119004 1678506 2238008 2517759 3357012 5035518 6714024 10071036 20142072