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4442160 = 243583223
BaseRepresentation
bin10000111100100000110000
322100200111110
4100330200300
52114122120
6235113320
752520622
oct20744060
98320443
104442160
112564508
1215a2840
13bc6bc8
14838c12
155cb2e0
hex43c830

4442160 has 80 divisors (see below), whose sum is σ = 13999104. Its totient is φ = 1165056.

The previous prime is 4442159. The next prime is 4442161. The reversal of 4442160 is 612444.

It is an interprime number because it is at equal distance from previous prime (4442159) and next prime (4442161).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4442161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19809 + ... + 20031.

Almost surely, 24442160 is an apocalyptic number.

4442160 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 4442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999552).

4442160 is an abundant number, since it is smaller than the sum of its proper divisors (9556944).

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

4442160 is a wasteful number, since it uses less digits than its factorization.

4442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4442160 is about 2107.6432335668. The cubic root of 4442160 is about 164.3859638386.

The spelling of 4442160 in words is "four million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 223 240 249 332 415 446 498 664 669 830 892 996 1115 1245 1328 1338 1660 1784 1992 2230 2490 2676 3320 3345 3568 3984 4460 4980 5352 6640 6690 8920 9960 10704 13380 17840 18509 19920 26760 37018 53520 55527 74036 92545 111054 148072 185090 222108 277635 296144 370180 444216 555270 740360 888432 1110540 1480720 2221080 4442160