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20520144 = 2432142501
BaseRepresentation
bin100111001000…
…1110011010000
31102121112100100
41032101303100
520223121034
62011452400
7336263331
oct116216320
942545310
1020520144
11106460a7
126a57100
1343360c8
142a22288
151c05099
hex1391cd0

20520144 has 30 divisors (see below), whose sum is σ = 57428306. Its totient is φ = 6840000.

The previous prime is 20520103. The next prime is 20520161. The reversal of 20520144 is 44102502.

20520144 is a `hidden beast` number, since 2 + 0 + 520 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16160400 + 4359744 = 4020^2 + 2088^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 71107 + ... + 71394.

Almost surely, 220520144 is an apocalyptic number.

20520144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20520144 is an abundant number, since it is smaller than the sum of its proper divisors (36908162).

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

20520144 is a wasteful number, since it uses less digits than its factorization.

20520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142515 (or 142506 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20520144 is about 4529.9165555228. The cubic root of 20520144 is about 273.7747985291.

Adding to 20520144 its reverse (44102502), we get a palindrome (64622646).

The spelling of 20520144 in words is "twenty million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 142501 285002 427503 570004 855006 1140008 1282509 1710012 2280016 2565018 3420024 5130036 6840048 10260072 20520144