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20632272 = 243795441
BaseRepresentation
bin100111010110…
…1001011010000
31102211020011020
41032231023100
520240213042
62014115440
7340241253
oct116551320
942736136
1020632272
1110712371
126aabb80
13437515b
142a5109a
151c283ec
hex13ad2d0

20632272 has 40 divisors (see below), whose sum is σ = 53984640. Its totient is φ = 6789120.

The previous prime is 20632259. The next prime is 20632277. The reversal of 20632272 is 27223602.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20632277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1072 + ... + 6512.

It is an arithmetic number, because the mean of its divisors is an integer number (1349616).

Almost surely, 220632272 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 20632272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26992320).

20632272 is an abundant number, since it is smaller than the sum of its proper divisors (33352368).

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

20632272 is a wasteful number, since it uses less digits than its factorization.

20632272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5531 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 20632272 is about 4542.2760814376. The cubic root of 20632272 is about 274.2725545522.

Adding to 20632272 its reverse (27223602), we get a palindrome (47855874).

The spelling of 20632272 in words is "twenty million, six hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 5441 10882 16323 21764 32646 43528 65292 87056 130584 261168 429839 859678 1289517 1719356 2579034 3438712 5158068 6877424 10316136 20632272