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4144720 = 245103503
BaseRepresentation
bin1111110011111001010000
321210120111011
433303321100
52030112340
6224500304
750141506
oct17637120
97716434
104144720
112380a98
12147a694
13b216c8
1479c676
1556d0ea
hex3f3e50

4144720 has 40 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 1638528.

The previous prime is 4144711. The next prime is 4144729. The reversal of 4144720 is 274414.

It is an interprime number because it is at equal distance from previous prime (4144711) and next prime (4144729).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4144691 and 4144700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7989 + ... + 8491.

Almost surely, 24144720 is an apocalyptic number.

4144720 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 4144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

4144720 is an abundant number, since it is smaller than the sum of its proper divisors (5604656).

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

4144720 is a wasteful number, since it uses less digits than its factorization.

4144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 4144720 is about 2035.8585412548. The cubic root of 4144720 is about 160.6318762922.

The spelling of 4144720 in words is "four million, one hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 503 515 824 1006 1030 1648 2012 2060 2515 4024 4120 5030 8048 8240 10060 20120 40240 51809 103618 207236 259045 414472 518090 828944 1036180 2072360 4144720