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20338263 = 331131472
BaseRepresentation
bin100110110010…
…1011001010111
31102021021212000
41031211121113
520201311023
62003530343
7334605141
oct115453127
942237760
1020338263
1110531490
1269899b3
1342a139a
1429b5c91
151bbb243
hex1365657

20338263 has 48 divisors (see below), whose sum is σ = 34667520. Its totient is φ = 11674800.

The previous prime is 20338261. The next prime is 20338267. The reversal of 20338263 is 36283302.

It is not a de Polignac number, because 20338263 - 21 = 20338261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20338261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 432706 + ... + 432752.

It is an arithmetic number, because the mean of its divisors is an integer number (722240).

Almost surely, 220338263 is an apocalyptic number.

20338263 is a deficient number, since it is larger than the sum of its proper divisors (14329257).

20338263 is a wasteful number, since it uses less digits than its factorization.

20338263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 20338263 is about 4509.7963368649. The cubic root of 20338263 is about 272.9635261017.

It can be divided in two parts, 2033 and 8263, that added together give a triangular number (10296 = T143).

The spelling of 20338263 in words is "twenty million, three hundred thirty-eight thousand, two hundred sixty-three".

Divisors: 1 3 9 11 27 31 33 47 93 99 141 279 297 341 423 517 837 1023 1269 1457 1551 2209 3069 4371 4653 6627 9207 13113 13959 16027 19881 24299 39339 48081 59643 68479 72897 144243 205437 218691 432729 616311 656073 753269 1848933 2259807 6779421 20338263