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20907144 = 233217192931
BaseRepresentation
bin100111111000…
…0010010001000
31110100012012200
41033300102020
520323012034
62024040200
7342464526
oct117602210
943305180
1020907144
111088a935
127003060
1344402bb
142ac3316
151c7ea99
hex13f0488

20907144 has 192 divisors, whose sum is σ = 67392000. Its totient is φ = 5806080.

The previous prime is 20907137. The next prime is 20907167. The reversal of 20907144 is 44170902.

It is a happy 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, 674409 + ... + 674439.

It is an arithmetic number, because the mean of its divisors is an integer number (351000).

Almost surely, 220907144 is an apocalyptic number.

20907144 is a gapful number since it is divisible by the number (24) 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 20907144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

20907144 is an abundant number, since it is smaller than the sum of its proper divisors (46484856).

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

20907144 is a wasteful number, since it uses less digits than its factorization.

20907144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20907144 is about 4572.4330503573. The cubic root of 20907144 is about 275.4851776659.

The spelling of 20907144 in words is "twenty million, nine hundred seven thousand, one hundred forty-four".