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20947008 = 263791381
BaseRepresentation
bin100111111101…
…0000001000000
31110102012220010
41033322001000
520330301013
62024544520
7343021665
oct117720100
943365803
1020947008
1110907885
127022140
1344554a4
142ad3a6c
151c8b7c3
hex13fa040

20947008 has 56 divisors (see below), whose sum is σ = 56164480. Its totient is φ = 6888960.

The previous prime is 20947001. The next prime is 20947021. The reversal of 20947008 is 80074902.

It is not an unprimeable number, because it can be changed into a prime (20947001) 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, 14478 + ... + 15858.

Almost surely, 220947008 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 20947008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28082240).

20947008 is an abundant number, since it is smaller than the sum of its proper divisors (35217472).

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

20947008 is a wasteful number, since it uses less digits than its factorization.

20947008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20947008 is about 4576.7901415730. The cubic root of 20947008 is about 275.6601572278.

The spelling of 20947008 in words is "twenty million, nine hundred forty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 237 316 474 632 948 1264 1381 1896 2528 2762 3792 4143 5056 5524 7584 8286 11048 15168 16572 22096 33144 44192 66288 88384 109099 132576 218198 265152 327297 436396 654594 872792 1309188 1745584 2618376 3491168 5236752 6982336 10473504 20947008