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20191360 = 27574507
BaseRepresentation
bin100110100000…
…1100010000000
31101222211100011
41031001202000
520132110420
62000434304
7333423640
oct115014200
941884304
1020191360
1110441082
126918994
13424c567
142978520
151b8c95a
hex1341880

20191360 has 64 divisors (see below), whose sum is σ = 55177920. Its totient is φ = 6921216.

The previous prime is 20191351. The next prime is 20191387. The reversal of 20191360 is 6319102.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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, 2227 + ... + 6733.

It is an arithmetic number, because the mean of its divisors is an integer number (862155).

Almost surely, 220191360 is an apocalyptic number.

20191360 is a gapful number since it is divisible by the number (20) 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 20191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588960).

20191360 is an abundant number, since it is smaller than the sum of its proper divisors (34986560).

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

20191360 is an equidigital number, since it uses as much as digits as its factorization.

20191360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 20191360 is about 4493.4797206619. The cubic root of 20191360 is about 272.3047334375.

The spelling of 20191360 in words is "twenty million, one hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4507 9014 18028 22535 31549 36056 45070 63098 72112 90140 126196 144224 157745 180280 252392 288448 315490 360560 504784 576896 630980 721120 1009568 1261960 1442240 2019136 2523920 2884480 4038272 5047840 10095680 20191360