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20682672 = 2431074027
BaseRepresentation
bin100111011100…
…1011110110000
31102220210021220
41032321132300
520243321142
62015145040
7340541223
oct116713660
942823256
1020682672
111074721a
126b15180
13439208a
142a655ba
151c382ec
hex13b97b0

20682672 has 40 divisors (see below), whose sum is σ = 53942976. Its totient is φ = 6828096.

The previous prime is 20682671. The next prime is 20682677. The reversal of 20682672 is 27628602.

It is not an unprimeable number, because it can be changed into a prime (20682671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3123 + ... + 7149.

Almost surely, 220682672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20682672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971488).

20682672 is an abundant number, since it is smaller than the sum of its proper divisors (33260304).

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

20682672 is a wasteful number, since it uses less digits than its factorization.

20682672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 20682672 is about 4547.8205769357. The cubic root of 20682672 is about 274.4957016722.

The spelling of 20682672 in words is "twenty million, six hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 4027 5136 8054 12081 16108 24162 32216 48324 64432 96648 193296 430889 861778 1292667 1723556 2585334 3447112 5170668 6894224 10341336 20682672