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20396032 = 21123433
BaseRepresentation
bin100110111001…
…1100000000000
31102101020002121
41031303200000
520210133112
62005054024
7335235436
oct115634000
942336077
1020396032
1110570928
1269b7314
1342c1777
1429ccd56
151bcd407
hex1373800

20396032 has 48 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 9732096.

The previous prime is 20396029. The next prime is 20396053. The reversal of 20396032 is 23069302.

It is a junction number, because it is equal to n+sod(n) for n = 20395988 and 20396006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46888 + ... + 47320.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 220396032 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 20396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

20396032 is an abundant number, since it is smaller than the sum of its proper divisors (22257488).

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

20396032 is an equidigital number, since it uses as much as digits as its factorization.

20396032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 20396032 is about 4516.1966299088. The cubic root of 20396032 is about 273.2217245439.

The spelling of 20396032 in words is "twenty million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 433 512 736 866 1024 1472 1732 2048 2944 3464 5888 6928 9959 11776 13856 19918 23552 27712 39836 47104 55424 79672 110848 159344 221696 318688 443392 637376 886784 1274752 2549504 5099008 10198016 20396032