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20329288 = 237715113
BaseRepresentation
bin100110110001…
…1001101001000
31102020211112121
41031203031020
520201014123
62003421024
7334540030
oct115431510
942224477
1020329288
1110525771
126984774
13429a285
1429b28c0
151bb875d
hex1363348

20329288 has 32 divisors (see below), whose sum is σ = 44184960. Its totient is φ = 8588160.

The previous prime is 20329279. The next prime is 20329301. The reversal of 20329288 is 88292302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1420 + ... + 6532.

It is an arithmetic number, because the mean of its divisors is an integer number (1380780).

Almost surely, 220329288 is an apocalyptic number.

20329288 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 20329288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22092480).

20329288 is an abundant number, since it is smaller than the sum of its proper divisors (23855672).

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

20329288 is a wasteful number, since it uses less digits than its factorization.

20329288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 20329288 is about 4508.8011710431. The cubic root of 20329288 is about 272.9233684917.

The spelling of 20329288 in words is "twenty million, three hundred twenty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1988 3976 5113 10226 20452 35791 40904 71582 143164 286328 363023 726046 1452092 2541161 2904184 5082322 10164644 20329288