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20368032 = 253212167
BaseRepresentation
bin100110110110…
…0101010100000
31102022210200120
41031230222200
520203234112
62004320240
7335061006
oct115545240
942283616
1020368032
1110551893
1269a3080
1342b1ab9
1429c2a76
151bc4e8c
hex136caa0

20368032 has 24 divisors (see below), whose sum is σ = 53466336. Its totient is φ = 6789312.

The previous prime is 20368003. The next prime is 20368037. The reversal of 20368032 is 23086302.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20367993 and 20368011.

It is not an unprimeable number, because it can be changed into a prime (20368037) by changing a digit.

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, 105988 + ... + 106179.

It is an arithmetic number, because the mean of its divisors is an integer number (2227764).

Almost surely, 220368032 is an apocalyptic number.

It is an amenable number.

20368032 is an abundant number, since it is smaller than the sum of its proper divisors (33098304).

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

20368032 is a wasteful number, since it uses less digits than its factorization.

20368032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212180 (or 212172 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20368032 is about 4513.0956116617. The cubic root of 20368032 is about 273.0966395644.

The spelling of 20368032 in words is "twenty million, three hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 212167 424334 636501 848668 1273002 1697336 2546004 3394672 5092008 6789344 10184016 20368032