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20302272 = 263331379
BaseRepresentation
bin100110101110…
…0100111000000
31102012110111000
41031130213000
520144133042
62003052000
7334365204
oct115344700
942173430
1020302272
1110507441
126971000
13428aba3
1429a6b04
151bb074c
hex135c9c0

20302272 has 112 divisors (see below), whose sum is σ = 61772800. Its totient is φ = 6531840.

The previous prime is 20302259. The next prime is 20302277. The reversal of 20302272 is 27220302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20302277) 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 15 ways as a sum of consecutive naturals, for example, 53379 + ... + 53757.

Almost surely, 220302272 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 20302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30886400).

20302272 is an abundant number, since it is smaller than the sum of its proper divisors (41470528).

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

20302272 is a wasteful number, since it uses less digits than its factorization.

20302272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 20302272 is about 4505.8042567338. The cubic root of 20302272 is about 272.8024171118.

Adding to 20302272 its reverse (27220302), we get a palindrome (47522574).

The spelling of 20302272 in words is "twenty million, three hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 379 432 496 558 576 744 758 837 864 992 1116 1137 1488 1516 1674 1728 1984 2232 2274 2976 3032 3348 3411 4464 4548 5952 6064 6696 6822 8928 9096 10233 11749 12128 13392 13644 17856 18192 20466 23498 24256 26784 27288 35247 36384 40932 46996 53568 54576 70494 72768 81864 93992 105741 109152 140988 163728 187984 211482 218304 281976 317223 327456 375968 422964 563952 634446 654912 751936 845928 1127904 1268892 1691856 2255808 2537784 3383712 5075568 6767424 10151136 20302272