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20779488 = 2532233137
BaseRepresentation
bin100111101000…
…1000111100000
31110002201002200
41033101013200
520304420423
62021213200
7341423412
oct117210740
943081080
1020779488
1110802a34
126b61200
1343c7172
142a8c9b2
151c56d43
hex13d11e0

20779488 has 72 divisors (see below), whose sum is σ = 61680528. Its totient is φ = 6623232.

The previous prime is 20779477. The next prime is 20779489. The reversal of 20779488 is 88497702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20779489) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5056 + ... + 8192.

It is an arithmetic number, because the mean of its divisors is an integer number (856674).

Almost surely, 220779488 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 20779488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30840264).

20779488 is an abundant number, since it is smaller than the sum of its proper divisors (40901040).

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

20779488 is a wasteful number, since it uses less digits than its factorization.

20779488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 20779488 is about 4558.4523689516. The cubic root of 20779488 is about 274.9233417183.

The spelling of 20779488 in words is "twenty million, seven hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3137 3312 6274 6624 9411 12548 18822 25096 28233 37644 50192 56466 72151 75288 100384 112932 144302 150576 216453 225864 288604 301152 432906 451728 577208 649359 865812 903456 1154416 1298718 1731624 2308832 2597436 3463248 5194872 6926496 10389744 20779488