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21187540 = 22511193499
BaseRepresentation
bin101000011010…
…0101111010100
31110212102211201
41100310233110
520411000130
62034042244
7345043153
oct120645724
943772751
1021187540
1110a61570
127119384
13450ab0a
142b5759a
151cd7bca
hex1434bd4

21187540 has 48 divisors (see below), whose sum is σ = 48888000. Its totient is φ = 7649280.

The previous prime is 21187511. The next prime is 21187561. The reversal of 21187540 is 4578112.

It is a junction number, because it is equal to n+sod(n) for n = 21187499 and 21187508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42211 + ... + 42709.

It is an arithmetic number, because the mean of its divisors is an integer number (1018500).

Almost surely, 221187540 is an apocalyptic number.

21187540 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 21187540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24444000).

21187540 is an abundant number, since it is smaller than the sum of its proper divisors (27700460).

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

21187540 is a wasteful number, since it uses less digits than its factorization.

21187540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 21187540 is about 4602.9925048820. The cubic root of 21187540 is about 276.7112684339.

The spelling of 21187540 in words is "twenty-one million, one hundred eighty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 499 772 965 998 1930 1996 2123 2495 3860 4246 4990 5489 8492 9980 10615 10978 21230 21956 27445 42460 54890 96307 109780 192614 385228 481535 963070 1059377 1926140 2118754 4237508 5296885 10593770 21187540