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4420000 = 25541317
BaseRepresentation
bin10000110111000110100000
322022120002201
4100313012200
52112420000
6234422544
752366204
oct20670640
98276081
104420000
1125498a2
121591a54
13bb9ab0
14830b04
155c496a
hex4371a0

4420000 has 120 divisors (see below), whose sum is σ = 12399156. Its totient is φ = 1536000.

The previous prime is 4419991. The next prime is 4420001. The reversal of 4420000 is 244.

It can be written as a sum of positive squares in 10 ways, for example, as 467856 + 3952144 = 684^2 + 1988^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4420001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259992 + ... + 260008.

Almost surely, 24420000 is an apocalyptic number.

4420000 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 4420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199578).

4420000 is an abundant number, since it is smaller than the sum of its proper divisors (7979156).

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

4420000 is a wasteful number, since it uses less digits than its factorization.

4420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4420000 is about 2102.3796041629. The cubic root of 4420000 is about 164.1121580596.

Adding to 4420000 its reverse (244), we get a palindrome (4420244).

The spelling of 4420000 in words is "four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 65 68 80 85 100 104 125 130 136 160 170 200 208 221 250 260 272 325 340 400 416 425 442 500 520 544 625 650 680 800 850 884 1000 1040 1105 1250 1300 1360 1625 1700 1768 2000 2080 2125 2210 2500 2600 2720 3250 3400 3536 4000 4250 4420 5000 5200 5525 6500 6800 7072 8125 8500 8840 10000 10400 10625 11050 13000 13600 16250 17000 17680 20000 21250 22100 26000 27625 32500 34000 35360 42500 44200 52000 55250 65000 68000 85000 88400 110500 130000 138125 170000 176800 221000 260000 276250 340000 442000 552500 884000 1105000 2210000 4420000