Search a number
-
+
20120072 = 237536779
BaseRepresentation
bin100110011000…
…0001000001000
31101212012112212
41030300020020
520122320242
61555124252
7333006050
oct114601010
941765485
1020120072
11103a2565
1268a3688
134225c8b
14295a560
151b76782
hex1330208

20120072 has 32 divisors (see below), whose sum is σ = 43934400. Its totient is φ = 8458944.

The previous prime is 20120071. The next prime is 20120081. The reversal of 20120072 is 27002102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422 + ... + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (1372950).

Almost surely, 220120072 is an apocalyptic number.

It is an amenable number.

20120072 is an abundant number, since it is smaller than the sum of its proper divisors (23814328).

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

20120072 is a wasteful number, since it uses less digits than its factorization.

20120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 20120072 is about 4485.5403241973. The cubic root of 20120072 is about 271.9838874539.

Adding to 20120072 its reverse (27002102), we get a palindrome (47122174).

The spelling of 20120072 in words is "twenty million, one hundred twenty thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 6779 13558 27116 47453 54232 94906 189812 359287 379624 718574 1437148 2515009 2874296 5030018 10060036 20120072