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20916630 = 2345721731
BaseRepresentation
bin100111111001…
…0100110010110
31110100200020000
41033302212112
520323313010
62024152130
7342534300
oct117624626
943320200
1020916630
1110896a79
127008646
134444707
142ac6970
151c827c0
hex13f2996

20916630 has 240 divisors, whose sum is σ = 71508096. Its totient is φ = 4354560.

The previous prime is 20916589. The next prime is 20916673. The reversal of 20916630 is 3661902.

It is a happy number.

20916630 is a `hidden beast` number, since 20 + 9 + 1 + 6 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20916594 and 20916603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 674715 + ... + 674745.

Almost surely, 220916630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20916630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35754048).

20916630 is an abundant number, since it is smaller than the sum of its proper divisors (50591466).

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

20916630 is a wasteful number, since it uses less digits than its factorization.

20916630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20916630 is about 4573.4702360461. The cubic root of 20916630 is about 275.5268357911.

The spelling of 20916630 in words is "twenty million, nine hundred sixteen thousand, six hundred thirty".