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20834432 = 271391171
BaseRepresentation
bin100111101111…
…0100010000000
31110012111110122
41033132202000
520313200212
62022315412
7342042533
oct117364200
943174418
1020834432
1110840243
126b88b68
134416188
142aa4a1a
151c68272
hex13de880

20834432 has 32 divisors (see below), whose sum is σ = 41840400. Its totient is φ = 10333440.

The previous prime is 20834417. The next prime is 20834461. The reversal of 20834432 is 23443802.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17207 + ... + 18377.

Almost surely, 220834432 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 20834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20920200).

20834432 is an abundant number, since it is smaller than the sum of its proper divisors (21005968).

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

20834432 is a wasteful number, since it uses less digits than its factorization.

20834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 20834432 is about 4564.4749971930. The cubic root of 20834432 is about 275.1654409461.

The spelling of 20834432 in words is "twenty million, eight hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 1171 2224 2342 4448 4684 8896 9368 17792 18736 37472 74944 149888 162769 325538 651076 1302152 2604304 5208608 10417216 20834432