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20683488 = 253724397
BaseRepresentation
bin100111011100…
…1101011100000
31102220211102010
41032321223200
520243332423
62015152520
7340543500
oct116715340
942824363
1020683488
11107478a1
126b15740
134392567
142a65a00
151c38693
hex13b9ae0

20683488 has 72 divisors (see below), whose sum is σ = 63172872. Its totient is φ = 5908224.

The previous prime is 20683483. The next prime is 20683493. The reversal of 20683488 is 88438602.

It is an interprime number because it is at equal distance from previous prime (20683483) and next prime (20683493).

It is a super-2 number, since 2×206834882 = 855613351692288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20683483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506 + ... + 6902.

It is an arithmetic number, because the mean of its divisors is an integer number (877401).

Almost surely, 220683488 is an apocalyptic number.

20683488 is a gapful number since it is divisible by the number (28) 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 20683488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31586436).

20683488 is an abundant number, since it is smaller than the sum of its proper divisors (42489384).

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

20683488 is a wasteful number, since it uses less digits than its factorization.

20683488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 20683488 is about 4547.9102893527. The cubic root of 20683488 is about 274.4993115467.

The spelling of 20683488 in words is "twenty million, six hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4397 4704 8794 13191 17588 26382 30779 35176 52764 61558 70352 92337 105528 123116 140704 184674 211056 215453 246232 369348 422112 430906 492464 646359 738696 861812 984928 1292718 1477392 1723624 2585436 2954784 3447248 5170872 6894496 10341744 20683488