Search a number
-
+
21097360 = 2453147181
BaseRepresentation
bin101000001111…
…0101110010000
31110200212010201
41100132232100
520400103420
62032104544
7344216224
oct120365620
943625121
1021097360
11109aa839
127095154
1344a8a5b
142b32784
151cbb10a
hex141eb90

21097360 has 80 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 7948800.

The previous prime is 21097337. The next prime is 21097369. The reversal of 21097360 is 6379012.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21097369) 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 15 ways as a sum of consecutive naturals, for example, 116470 + ... + 116650.

Almost surely, 221097360 is an apocalyptic number.

21097360 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 21097360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

21097360 is an abundant number, since it is smaller than the sum of its proper divisors (30899312).

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

21097360 is a wasteful number, since it uses less digits than its factorization.

21097360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 21097360 is about 4593.1862579260. The cubic root of 21097360 is about 276.3181236959.

The spelling of 21097360 in words is "twenty-one million, ninety-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 47 62 80 94 124 155 181 188 235 248 310 362 376 470 496 620 724 752 905 940 1240 1448 1457 1810 1880 2480 2896 2914 3620 3760 5611 5828 7240 7285 8507 11222 11656 14480 14570 17014 22444 23312 28055 29140 34028 42535 44888 56110 58280 68056 85070 89776 112220 116560 136112 170140 224440 263717 340280 448880 527434 680560 1054868 1318585 2109736 2637170 4219472 5274340 10548680 21097360