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20693400 = 23352713379
BaseRepresentation
bin100111011110…
…0000110011000
31102221100000020
41032330012120
520244142100
62015310440
7340614420
oct116740630
942840006
1020693400
1110754292
126b1b420
134396c20
142a69480
151c3b5a0
hex13bc198

20693400 has 192 divisors, whose sum is σ = 79161600. Its totient is φ = 4354560.

The previous prime is 20693389. The next prime is 20693423. The reversal of 20693400 is 439602.

It is a Cunningham number, because it is equal to 45492-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 54411 + ... + 54789.

It is an arithmetic number, because the mean of its divisors is an integer number (412300).

Almost surely, 220693400 is an apocalyptic number.

20693400 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 20693400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39580800).

20693400 is an abundant number, since it is smaller than the sum of its proper divisors (58468200).

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

20693400 is a wasteful number, since it uses less digits than its factorization.

20693400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 20693400 is about 4548.9998900857. Note that the first 3 decimals coincide. The cubic root of 20693400 is about 274.5431533246.

The spelling of 20693400 in words is "twenty million, six hundred ninety-three thousand, four hundred".