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20153216 = 27791993
BaseRepresentation
bin100110011100…
…0001110000000
31101220220000102
41030320032000
520124400331
61555541532
7333204506
oct114701600
941826012
1020153216
1110415456
1268ba8a8
1342380a5
142968676
151b814cb
hex1338380

20153216 has 32 divisors (see below), whose sum is σ = 40677600. Its totient is φ = 9944064.

The previous prime is 20153213. The next prime is 20153219. The reversal of 20153216 is 61235102.

It is an interprime number because it is at equal distance from previous prime (20153213) and next prime (20153219).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20153213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9116 + ... + 11108.

It is an arithmetic number, because the mean of its divisors is an integer number (1271175).

Almost surely, 220153216 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 20153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338800).

20153216 is an abundant number, since it is smaller than the sum of its proper divisors (20524384).

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

20153216 is an equidigital number, since it uses as much as digits as its factorization.

20153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20153216 is about 4489.2333421198. The cubic root of 20153216 is about 272.1331527998.

Adding to 20153216 its reverse (61235102), we get a palindrome (81388318).

The spelling of 20153216 in words is "twenty million, one hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 79 128 158 316 632 1264 1993 2528 3986 5056 7972 10112 15944 31888 63776 127552 157447 255104 314894 629788 1259576 2519152 5038304 10076608 20153216