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20683740 = 2235711337
BaseRepresentation
bin100111011100…
…1101111011100
31102220211202110
41032321233130
520243334430
62015154020
7340544310
oct116715734
942824673
1020683740
1110748000
126b15910
1343926cc
142a65b40
151c387b0
hex13b9bdc

20683740 has 192 divisors, whose sum is σ = 74769408. Its totient is φ = 4181760.

The previous prime is 20683717. The next prime is 20683763. The reversal of 20683740 is 4738602.

It is an interprime number because it is at equal distance from previous prime (20683717) and next prime (20683763).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20683698 and 20683707.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 407 × 385 × 132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559002 + ... + 559038.

It is an arithmetic number, because the mean of its divisors is an integer number (389424).

Almost surely, 220683740 is an apocalyptic number.

20683740 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 20683740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37384704).

20683740 is an abundant number, since it is smaller than the sum of its proper divisors (54085668).

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

20683740 is a wasteful number, since it uses less digits than its factorization.

20683740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 20683740 is about 4547.9379943003. The cubic root of 20683740 is about 274.5004263417.

The spelling of 20683740 in words is "twenty million, six hundred eighty-three thousand, seven hundred forty".