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20931288 = 2337235417
BaseRepresentation
bin100111111011…
…0001011011000
31110101102022220
41033312023120
520324300123
62024344040
7342625110
oct117661330
943342286
1020931288
11108a6a94
127015020
13444b2a1
142acc040
151c86ce3
hex13f62d8

20931288 has 64 divisors (see below), whose sum is σ = 62415360. Its totient is φ = 5719296.

The previous prime is 20931263. The next prime is 20931289. The reversal of 20931288 is 88213902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20931289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156 + ... + 6572.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 220931288 is an apocalyptic number.

20931288 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 20931288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31207680).

20931288 is an abundant number, since it is smaller than the sum of its proper divisors (41484072).

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

20931288 is a wasteful number, since it uses less digits than its factorization.

20931288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 20931288 is about 4575.0724584426. The cubic root of 20931288 is about 275.5911821879.

The spelling of 20931288 in words is "twenty million, nine hundred thirty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 5417 10834 16251 21668 32502 37919 43336 65004 75838 113757 124591 130008 151676 227514 249182 303352 373773 455028 498364 747546 872137 910056 996728 1495092 1744274 2616411 2990184 3488548 5232822 6977096 10465644 20931288