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20384946 = 234235471
BaseRepresentation
bin100110111000…
…0110010110010
31102100122220000
41031300302302
520204304241
62004530430
7335161221
oct115606262
942318800
1020384946
111056356a
1269b0a16
1342b96ca
1429c8cb8
151bc9eb6
hex1370cb2

20384946 has 40 divisors (see below), whose sum is σ = 47672064. Its totient is φ = 6498360.

The previous prime is 20384933. The next prime is 20384953. The reversal of 20384946 is 64948302.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20384946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 991 + ... + 6461.

Almost surely, 220384946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20384946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23836032).

20384946 is an abundant number, since it is smaller than the sum of its proper divisors (27287118).

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

20384946 is a wasteful number, since it uses less digits than its factorization.

20384946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20384946 is about 4514.9691028843. The cubic root of 20384946 is about 273.1722135249.

The spelling of 20384946 in words is "twenty million, three hundred eighty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 5471 10942 16413 32826 49239 98478 125833 147717 251666 295434 377499 443151 754998 886302 1132497 2264994 3397491 6794982 10192473 20384946