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21140480 = 21054129
BaseRepresentation
bin101000010100…
…1010000000000
31110210001021202
41100221100000
520402443410
62033040332
7344456024
oct120512000
943701252
1021140480
1110a2a179
1270b60a8
1344c257a
142b44384
151cc8ca5
hex1429400

21140480 has 44 divisors (see below), whose sum is σ = 50724660. Its totient is φ = 8454144.

The previous prime is 21140423. The next prime is 21140501. The reversal of 21140480 is 8404112.

It can be written as a sum of positive squares in 2 ways, for example, as 9634816 + 11505664 = 3104^2 + 3392^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3056 + ... + 7184.

Almost surely, 221140480 is an apocalyptic number.

21140480 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 21140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25362330).

21140480 is an abundant number, since it is smaller than the sum of its proper divisors (29584180).

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

21140480 is an equidigital number, since it uses as much as digits as its factorization.

21140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 21140480 is about 4597.8777713202. The cubic root of 21140480 is about 276.5062472224.

Adding to 21140480 its reverse (8404112), we get a palindrome (29544592).

The spelling of 21140480 in words is "twenty-one million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 4129 5120 8258 16516 20645 33032 41290 66064 82580 132128 165160 264256 330320 528512 660640 1057024 1321280 2114048 2642560 4228096 5285120 10570240 21140480