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20453760 = 273255367
BaseRepresentation
bin100111000000…
…1100110000000
31102111011021200
41032001212000
520214010020
62010221200
7335565645
oct116014600
942434250
1020453760
1110600238
126a24800
134311b22
142a05dcc
151be0590
hex1381980

20453760 has 192 divisors, whose sum is σ = 73036080. Its totient is φ = 5271552.

The previous prime is 20453759. The next prime is 20453761. The reversal of 20453760 is 6735402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20453759) and next prime (20453761).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20453761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305247 + ... + 305313.

Almost surely, 220453760 is an apocalyptic number.

20453760 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 20453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36518040).

20453760 is an abundant number, since it is smaller than the sum of its proper divisors (52582320).

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

20453760 is a wasteful number, since it uses less digits than its factorization.

20453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20453760 is about 4522.5833325656. The cubic root of 20453760 is about 273.4792531724.

The spelling of 20453760 in words is "twenty million, four hundred fifty-three thousand, seven hundred sixty".