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21513780 = 22325472543
BaseRepresentation
bin101001000010…
…0011000110100
31111111000100200
41102010120310
521001420110
62045040500
7350602251
oct122043064
944430320
1021513780
1111164692
127256130
1345c3462
142c00428
151d4e6c0
hex1484634

21513780 has 72 divisors (see below), whose sum is σ = 66673152. Its totient is φ = 5612736.

The previous prime is 21513773. The next prime is 21513787. The reversal of 21513780 is 8731512.

It is an interprime number because it is at equal distance from previous prime (21513773) and next prime (21513787).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21513787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7189 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (926016).

Almost surely, 221513780 is an apocalyptic number.

21513780 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 21513780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33336576).

21513780 is an abundant number, since it is smaller than the sum of its proper divisors (45159372).

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

21513780 is a wasteful number, since it uses less digits than its factorization.

21513780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 21513780 is about 4638.2949453436. The cubic root of 21513780 is about 278.1242823699.

The spelling of 21513780 in words is "twenty-one million, five hundred thirteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2543 2820 4230 5086 7629 8460 10172 12715 15258 22887 25430 30516 38145 45774 50860 76290 91548 114435 119521 152580 228870 239042 358563 457740 478084 597605 717126 1075689 1195210 1434252 1792815 2151378 2390420 3585630 4302756 5378445 7171260 10756890 21513780