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21137360 = 245372193
BaseRepresentation
bin101000010100…
…0011111010000
31110202220000012
41100220133100
520402343420
62033014052
7344443646
oct120503720
943686005
1021137360
1110a278a2
1270b4328
1344c101a
142b43196
151cc7dc5
hex14287d0

21137360 has 60 divisors (see below), whose sum is σ = 50770188. Its totient is φ = 8183808.

The previous prime is 21137359. The next prime is 21137371. The reversal of 21137360 is 6373112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1281424 + 19855936 = 1132^2 + 4456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109424 + ... + 109616.

Almost surely, 221137360 is an apocalyptic number.

21137360 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 21137360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25385094).

21137360 is an abundant number, since it is smaller than the sum of its proper divisors (29632828).

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

21137360 is a wasteful number, since it uses less digits than its factorization.

21137360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 21137360 is about 4597.5384718347. The cubic root of 21137360 is about 276.4926439057.

The spelling of 21137360 in words is "twenty-one million, one hundred thirty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 193 296 370 386 592 740 772 965 1369 1480 1544 1930 2738 2960 3088 3860 5476 6845 7141 7720 10952 13690 14282 15440 21904 27380 28564 35705 54760 57128 71410 109520 114256 142820 264217 285640 528434 571280 1056868 1321085 2113736 2642170 4227472 5284340 10568680 21137360