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20754432 = 21232563
BaseRepresentation
bin100111100101…
…1000000000000
31110001102201200
41033023000000
520303120212
62020501200
7341260356
oct117130000
943042650
1020754432
1110796126
126b4a800
1343b893a
142a837d6
151c4e6dc
hex13cb000

20754432 has 78 divisors (see below), whose sum is σ = 60056412. Its totient is φ = 6905856.

The previous prime is 20754431. The next prime is 20754439. The reversal of 20754432 is 23445702.

It is a junction number, because it is equal to n+sod(n) for n = 20754396 and 20754405.

It is not an unprimeable number, because it can be changed into a prime (20754431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36583 + ... + 37145.

It is an arithmetic number, because the mean of its divisors is an integer number (769954).

Almost surely, 220754432 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 20754432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028206).

20754432 is an abundant number, since it is smaller than the sum of its proper divisors (39301980).

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

20754432 is an equidigital number, since it uses as much as digits as its factorization.

20754432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 20754432 is about 4555.7032387986. The cubic root of 20754432 is about 274.8127960073.

The spelling of 20754432 in words is "twenty million, seven hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 563 576 768 1024 1126 1152 1536 1689 2048 2252 2304 3072 3378 4096 4504 4608 5067 6144 6756 9008 9216 10134 12288 13512 18016 18432 20268 27024 36032 36864 40536 54048 72064 81072 108096 144128 162144 216192 288256 324288 432384 576512 648576 864768 1153024 1297152 1729536 2306048 2594304 3459072 5188608 6918144 10377216 20754432