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20152072 = 2317712087
BaseRepresentation
bin100110011011…
…1111100001000
31101220211110001
41030313330020
520124331242
61555532344
7333201253
oct114677410
941824401
1020152072
1110414606
1268ba0b4
134237705
14296809a
151b80eb7
hex1337f08

20152072 has 32 divisors (see below), whose sum is σ = 40590720. Its totient is φ = 9345280.

The previous prime is 20152063. The next prime is 20152073. The reversal of 20152072 is 27025102.

It is a super-2 number, since 2×201520722 = 812212011786368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20152073) 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 7 ways as a sum of consecutive naturals, for example, 8613 + ... + 10699.

It is an arithmetic number, because the mean of its divisors is an integer number (1268460).

Almost surely, 220152072 is an apocalyptic number.

It is an amenable number.

20152072 is an abundant number, since it is smaller than the sum of its proper divisors (20438648).

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

20152072 is a wasteful number, since it uses less digits than its factorization.

20152072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 20152072 is about 4489.1059243462. The cubic root of 20152072 is about 272.1280034775.

Adding to 20152072 its reverse (27025102), we get a palindrome (47177174).

The spelling of 20152072 in words is "twenty million, one hundred fifty-two thousand, seventy-two".

Divisors: 1 2 4 8 17 34 68 71 136 142 284 568 1207 2087 2414 4174 4828 8348 9656 16696 35479 70958 141916 148177 283832 296354 592708 1185416 2519009 5038018 10076036 20152072