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21420280 = 2357113677
BaseRepresentation
bin101000110110…
…1100011111000
31111022021002201
41101231203320
520440422110
62043035544
7350032540
oct121554370
944267081
1021420280
1111100412
12720bbb4
13458ca2b
142bb8320
151d31b3a
hex146d8f8

21420280 has 64 divisors (see below), whose sum is σ = 55650240. Its totient is φ = 7268352.

The previous prime is 21420263. The next prime is 21420281. The reversal of 21420280 is 8202412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21420281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31302 + ... + 31978.

It is an arithmetic number, because the mean of its divisors is an integer number (869535).

Almost surely, 221420280 is an apocalyptic number.

21420280 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 21420280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27825120).

21420280 is an abundant number, since it is smaller than the sum of its proper divisors (34229960).

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

21420280 is a wasteful number, since it uses less digits than its factorization.

21420280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 21420280 is about 4628.2048355707. The cubic root of 21420280 is about 277.7207830918.

Adding to 21420280 its reverse (8202412), we get a palindrome (29622692).

The spelling of 21420280 in words is "twenty-one million, four hundred twenty thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 677 791 904 1130 1354 1582 2260 2708 3164 3385 3955 4520 4739 5416 6328 6770 7910 9478 13540 15820 18956 23695 27080 31640 37912 47390 76501 94780 153002 189560 306004 382505 535507 612008 765010 1071014 1530020 2142028 2677535 3060040 4284056 5355070 10710140 21420280