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4431420 = 2232573517
BaseRepresentation
bin10000111001111000111100
322100010202200
4100321320330
52113301140
6234551500
752444410
oct20717074
98303680
104431420
112557434
121598590
13bc2056
14834d40
155c8030
hex439e3c

4431420 has 72 divisors (see below), whose sum is σ = 15366624. Its totient is φ = 1012608.

The previous prime is 4431367. The next prime is 4431443. The reversal of 4431420 is 241344.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4431393 and 4431402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499 + ... + 3018.

Almost surely, 24431420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7683312).

4431420 is an abundant number, since it is smaller than the sum of its proper divisors (10935204).

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

4431420 is a wasteful number, since it uses less digits than its factorization.

4431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4431420 is about 2105.0938221372. The cubic root of 4431420 is about 164.2533759375.

Adding to 4431420 its reverse (241344), we get a palindrome (4672764).

It can be divided in two parts, 4431 and 420, that added together give a triangular number (4851 = T98).

The spelling of 4431420 in words is "four million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 3517 7034 10551 14068 17585 21102 24619 31653 35170 42204 49238 52755 63306 70340 73857 98476 105510 123095 126612 147714 158265 211020 221571 246190 295428 316530 369285 443142 492380 633060 738570 886284 1107855 1477140 2215710 4431420