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20287488 = 212313127
BaseRepresentation
bin100110101100…
…1000000000000
31102011201012110
41031121000000
520143144423
62002455320
7334304124
oct115310000
942151173
1020287488
11104a7321
126964540
134284240
1429a1584
151bab193
hex1359000

20287488 has 104 divisors (see below), whose sum is σ = 58713088. Its totient is φ = 6193152.

The previous prime is 20287483. The next prime is 20287489. The reversal of 20287488 is 88478202.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20287483) 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, 159681 + ... + 159807.

Almost surely, 220287488 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 20287488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29356544).

20287488 is an abundant number, since it is smaller than the sum of its proper divisors (38425600).

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

20287488 is a wasteful number, since it uses less digits than its factorization.

20287488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 20287488 is about 4504.1634073377. The cubic root of 20287488 is about 272.7361833048.

The spelling of 20287488 in words is "twenty million, two hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 256 312 381 384 416 508 512 624 762 768 832 1016 1024 1248 1524 1536 1651 1664 2032 2048 2496 3048 3072 3302 3328 4064 4096 4953 4992 6096 6144 6604 6656 8128 9906 9984 12192 12288 13208 13312 16256 19812 19968 24384 26416 26624 32512 39624 39936 48768 52832 53248 65024 79248 79872 97536 105664 130048 158496 159744 195072 211328 260096 316992 390144 422656 520192 633984 780288 845312 1267968 1560576 1690624 2535936 3381248 5071872 6762496 10143744 20287488