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4221480 = 2335127277
BaseRepresentation
bin10000000110101000101000
321221110210010
4100012220220
52040041410
6230251520
750611344
oct20065050
97843703
104221480
11242372a
1214b6ba0
13b4a623
147bc624
15585c20
hex406a28

4221480 has 64 divisors (see below), whose sum is σ = 12810240. Its totient is φ = 1112832.

The previous prime is 4221479. The next prime is 4221499. The reversal of 4221480 is 841224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15102 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (200160).

Almost surely, 24221480 is an apocalyptic number.

4221480 is a gapful number since it is divisible by the number (40) 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 4221480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405120).

4221480 is an abundant number, since it is smaller than the sum of its proper divisors (8588760).

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

4221480 is a wasteful number, since it uses less digits than its factorization.

4221480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4221480 is about 2054.6240532029. The cubic root of 4221480 is about 161.6174482026.

The spelling of 4221480 in words is "four million, two hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 277 381 508 554 635 762 831 1016 1108 1270 1385 1524 1662 1905 2216 2540 2770 3048 3324 3810 4155 5080 5540 6648 7620 8310 11080 15240 16620 33240 35179 70358 105537 140716 175895 211074 281432 351790 422148 527685 703580 844296 1055370 1407160 2110740 4221480