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20472120 = 23325194173
BaseRepresentation
bin100111000011…
…0000100111000
31102112002110200
41032012010320
520220101440
62010442200
7336003324
oct116060470
942462420
1020472120
1110613009
126a33360
13431a2a6
142a0c984
151be5c30
hex1386138

20472120 has 192 divisors, whose sum is σ = 72727200. Its totient is φ = 4976640.

The previous prime is 20472113. The next prime is 20472143. The reversal of 20472120 is 2127402.

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

It is a junction number, because it is equal to n+sod(n) for n = 20472093 and 20472102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280404 + ... + 280476.

Almost surely, 220472120 is an apocalyptic number.

20472120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36363600).

20472120 is an abundant number, since it is smaller than the sum of its proper divisors (52255080).

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

20472120 is a wasteful number, since it uses less digits than its factorization.

20472120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 143 counting only the distinct ones).

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

The square root of 20472120 is about 4524.6126906068. The cubic root of 20472120 is about 273.5610568354.

Adding to 20472120 its reverse (2127402), we get a palindrome (22599522).

The spelling of 20472120 in words is "twenty million, four hundred seventy-two thousand, one hundred twenty".