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20235264 = 21037941
BaseRepresentation
bin100110100110…
…0010000000000
31102002001120020
41031030100000
520140012024
62001413440
7333665640
oct115142000
942061506
1020235264
1110471065
12693a280
13426653a
14298a520
151b9a979
hex134c400

20235264 has 88 divisors (see below), whose sum is σ = 61704768. Its totient is φ = 5775360.

The previous prime is 20235251. The next prime is 20235269. The reversal of 20235264 is 46253202.

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

It is not an unprimeable number, because it can be changed into a prime (20235269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21034 + ... + 21974.

Almost surely, 220235264 is an apocalyptic number.

20235264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30852384).

20235264 is an abundant number, since it is smaller than the sum of its proper divisors (41469504).

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

20235264 is an equidigital number, since it uses as much as digits as its factorization.

20235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20235264 is about 4498.3623686849. The cubic root of 20235264 is about 272.5019566114.

Adding to 20235264 its reverse (46253202), we get a palindrome (66488466).

The spelling of 20235264 in words is "twenty million, two hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 941 1024 1344 1536 1792 1882 2688 2823 3072 3584 3764 5376 5646 6587 7168 7528 10752 11292 13174 15056 19761 21504 22584 26348 30112 39522 45168 52696 60224 79044 90336 105392 120448 158088 180672 210784 240896 316176 361344 421568 481792 632352 722688 843136 963584 1264704 1445376 1686272 2529408 2890752 3372544 5058816 6745088 10117632 20235264