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20928384 = 273237491
BaseRepresentation
bin100111111010…
…1011110000000
31110101021100100
41033311132000
520324202014
62024322400
7342613461
oct117653600
943337310
1020928384
11108a4894
127013400
134449b79
142acad68
151c86009
hex13f5780

20928384 has 96 divisors (see below), whose sum is σ = 61977240. Its totient is φ = 6773760.

The previous prime is 20928373. The next prime is 20928407. The reversal of 20928384 is 48382902.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42379 + ... + 42869.

Almost surely, 220928384 is an apocalyptic number.

20928384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30988620).

20928384 is an abundant number, since it is smaller than the sum of its proper divisors (41048856).

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

20928384 is a wasteful number, since it uses less digits than its factorization.

20928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 20928384 is about 4574.7550754111. The cubic root of 20928384 is about 275.5784364551.

It can be divided in two parts, 20928 and 384, that added together give a palindrome (21312).

The spelling of 20928384 in words is "twenty million, nine hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 491 576 592 666 888 982 1152 1184 1332 1473 1776 1964 2368 2664 2946 3552 3928 4419 4736 5328 5892 7104 7856 8838 10656 11784 14208 15712 17676 18167 21312 23568 31424 35352 36334 42624 47136 54501 62848 70704 72668 94272 109002 141408 145336 163503 188544 218004 282816 290672 327006 436008 565632 581344 654012 872016 1162688 1308024 1744032 2325376 2616048 3488064 5232096 6976128 10464192 20928384