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4227160 = 235731487
BaseRepresentation
bin10000001000000001011000
321221202120111
4100020001120
52040232120
6230334104
750634040
oct20100130
97852514
104227160
112427a23
1214ba334
13b500a2
147c0720
1558775a
hex408058

4227160 has 64 divisors (see below), whose sum is σ = 11243520. Its totient is φ = 1399680.

The previous prime is 4227149. The next prime is 4227161. The reversal of 4227160 is 617224.

It is a d-powerful number, because it can be written as 411 + 25 + 215 + 72 + 1 + 6 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437 + ... + 8923.

It is an arithmetic number, because the mean of its divisors is an integer number (175680).

Almost surely, 24227160 is an apocalyptic number.

4227160 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 4227160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621760).

4227160 is an abundant number, since it is smaller than the sum of its proper divisors (7016360).

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

4227160 is a wasteful number, since it uses less digits than its factorization.

4227160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 4227160 is about 2056.0058365676. The cubic root of 4227160 is about 161.6899011256.

The spelling of 4227160 in words is "four million, two hundred twenty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 487 620 868 974 1085 1240 1736 1948 2170 2435 3409 3896 4340 4870 6818 8680 9740 13636 15097 17045 19480 27272 30194 34090 60388 68180 75485 105679 120776 136360 150970 211358 301940 422716 528395 603880 845432 1056790 2113580 4227160