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20754384 = 2437193251
BaseRepresentation
bin100111100101…
…0111111010000
31110001102122220
41033022333100
520303120014
62020501040
7341260260
oct117127720
943042586
1020754384
1110796092
126b4a780
1343b8901
142a837a0
151c4e6a9
hex13cafd0

20754384 has 80 divisors (see below), whose sum is σ = 64519680. Its totient is φ = 5616000.

The previous prime is 20754367. The next prime is 20754413. The reversal of 20754384 is 48345702.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4759 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (806496).

Almost surely, 220754384 is an apocalyptic number.

20754384 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 20754384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32259840).

20754384 is an abundant number, since it is smaller than the sum of its proper divisors (43765296).

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

20754384 is a wasteful number, since it uses less digits than its factorization.

20754384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 20754384 is about 4555.6979706736. The cubic root of 20754384 is about 274.8125841486.

The spelling of 20754384 in words is "twenty million, seven hundred fifty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 3251 6384 6502 9753 13004 19506 22757 26008 39012 45514 52016 61769 68271 78024 91028 123538 136542 156048 182056 185307 247076 273084 364112 370614 432383 494152 546168 741228 864766 988304 1092336 1297149 1482456 1729532 2594298 2964912 3459064 5188596 6918128 10377192 20754384