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20706000 = 2435371729
BaseRepresentation
bin100111011111…
…1001011010000
31102221222021220
41032333023100
520300043000
62015445040
7340666230
oct116771320
942858256
1020706000
11107627a7
126b26780
13439c893
142a6dcc0
151c401a0
hex13bf2d0

20706000 has 320 divisors, whose sum is σ = 83566080. Its totient is φ = 4300800.

The previous prime is 20705981. The next prime is 20706019. The reversal of 20706000 is 60702.

It is an interprime number because it is at equal distance from previous prime (20705981) and next prime (20706019).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 713986 + ... + 714014.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 220706000 is an apocalyptic number.

20706000 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 20706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

20706000 is an abundant number, since it is smaller than the sum of its proper divisors (62860080).

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

20706000 is a wasteful number, since it uses less digits than its factorization.

20706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 20706000 is about 4550.3845991301. The cubic root of 20706000 is about 274.5988641933.

Adding to 20706000 its reverse (60702), we get a palindrome (20766702).

The spelling of 20706000 in words is "twenty million, seven hundred six thousand".